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Jul 20, 2013
07/13

by
Alex Kovner

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In these notes I explain the idea how one could understand confinement by studying the low energy effective dynamics of non Abelian gauge theories. I argue that under some mild assumptions, the low energy dynamics is determined universally by the spontaneous breaking of the magnetic symmetry introduced by 't Hooft more than 20 years ago. The degrees of freedom in the effective theory are magnetic vortices. They play a similar role in confining dynamics to the role played by pions and sigma in...

Source: http://arxiv.org/abs/hep-ph/0009138v2

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Sep 20, 2013
09/13

by
Alex Kovner

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I describe recent work on inclusion of Pomeron loops in the high energy evolution. In particular I show that the complete eikonal high energy evolution kernel must be selfdual.

Source: http://arxiv.org/abs/hep-ph/0506279v1

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Sep 22, 2013
09/13

by
Alex Kovner

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It is pointed out that the low energy effective theory that describes the low lying glueballs of the pure Yang Mills theory sustains static classical stringlike solutions. We suggest that these objects can be identified with the QCD flux tubes and their energy per unit length with the string tension.

Source: http://arxiv.org/abs/hep-ph/9612343v1

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Sep 21, 2013
09/13

by
Alex Kovner

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These lectures discuss aspects of high energy evolution in QCD. This includes the derivation of the JIMWLK equation, basic physics of its solutions and recent work on inclusion of Pomeron loops. The entire discussion is given in the Hamiltonian framework which gives direct access to the evolution of hadronic wave function under Lorentz boost.

Source: http://arxiv.org/abs/hep-ph/0508232v2

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Sep 19, 2013
09/13

by
Alex Kovner

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We point out that the effective action of hot Yang--Mills theories has semi-classical solutions, which are naturally identified with monopole world lines, ``frozen'' into the short imaginary time dimension. The solutions look like wall junctions: lines along which N electric Z(N) domain walls come together. They are instrumental in reconciling explicit perturbative calculations at high temperature with the magnetic Z(N) symmetry.

Source: http://arxiv.org/abs/hep-ph/0102329v1

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Sep 18, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We prove that the complete kernel for the high energy evolution in QCD must be selfdual. The relevant duality transformation is formulated in precise mathematical terms and is shown to transform the charge density into the functional derivative with respect to the single-gluon scattering matrix. This transformation interchanges the high and the low density regimes. We demostrate that the original JIMWLK kernel, valid at large density is indeed dual to the low denisity limit of the complete...

Source: http://arxiv.org/abs/hep-ph/0502119v2

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Sep 22, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We derive corrections to the JIMWLK equation in the regime where the charge density in the hadronic wave function is small. We show that the framework of the JIMWLK equation has to be significantly modified at small densities in order to properly account for the noncommutativity of the charge density operators. In particular the weight function for the calculation of averages can not be real, but is shown to contain the Wess-Zumino term. The corrections to the kernel of the JIMWLK evolution...

Source: http://arxiv.org/abs/hep-ph/0501198v2

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Sep 23, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We address the question to what extent JIMWLK evolution is capable of taking into account angular correlations in a high energy hadronic wave function. Our conclusion is that angular (and indeed other) correlations in the wave function cannot be reliably calculated without taking into account Pomeron loops in the evolution. As an example we study numerically the energy evolution of angular correlations between dipole scattering amplitudes in the framework of the large $N_c$ approximation to...

Source: http://arxiv.org/abs/1109.0347v1

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Sep 18, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We discuss the general mechanism leading to long-range rapidity and angular correlations produced in high energy collisions (the "ridge"). This effect naturally appears in the high energy QCD and is strongly sensitive to physics of the gluon saturation. We comment on various recent practical realizations of the main idea, paying special attention to $N_c$ counting and stress the relevance of Pomeron loops.

Source: http://arxiv.org/abs/1211.1928v1

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Sep 23, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We discuss several issues related to recent work on high energy evolution. In particular we show that the Hilbert space for action of the operator of the evolution can be conveniently defined by the space of weight functional introduced recently in \cite{kl4}. These weight functionals automatically implement the correct properties of the charge density correlators, thus eliminating the need in explicit introduction of the Wess Zumino term. We also discuss various aspects of Dense Dilute Duality...

Source: http://arxiv.org/abs/hep-ph/0510047v1

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Sep 18, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We make several remarks on the B-JIMWLK hierarchy. First, we present a simple and instructive derivation of this equation by considering an arbitrary projectile wave function with small number of valence gluons. We also generalize the equation by including corrections which incorporate effects of high density in the projectile wave function. Second, we systematically derive the dipole model approximation to the hierarchy. We show that in the dipole approximation the hierarchy has a simplifying...

Source: http://arxiv.org/abs/hep-ph/0502071v2

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40

Sep 23, 2013
09/13

by
Alex Kovner; Michael Lublinsky

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We present a general, model independent argument demonstrating that gluons produced in high energy hadronic collision are necessarily correlated in rapidity and also in the emission angle. The strength of the correlation depends on the process and on the structure/model of the colliding particles. In particular we argue that it is strongly affected (and underestimated) by factorized approximations frequently used to quantify the effect.

Source: http://arxiv.org/abs/1012.3398v1

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Jul 20, 2013
07/13

by
Alex Kovner; Michael Lublinsky

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We further discuss the QCD Reggeon field theory (RFT) as it emerges from the JIMWLK/KLWMIJ evolution equation and beyond. We give an explicit expression for the calculation of scattering amplitude in terms of the eigenstates of the RFT Hamiltonian. We point out that the spectrum of RFT is doubly degenerate, the degeneracy being related to the spontaneous breaking of the Dense-Dilute Duality symmetry of RFT. The degeneracy is between the "almost white" states (the Yang sector) which...

Source: http://arxiv.org/abs/hep-ph/0604085v1

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Sep 18, 2013
09/13

by
Alex Kovner; Benjamin Svetitsky

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We use a variational wave function to calculate the energy of the interaction between external charges in the compact Abelian gauge theory in 2+1 dimensions with mixed action. Our variational wave functions preserve the compact gauge invariance of the theory both in the vacuum and in the charged sectors. We find that a good estimate of the interaction energy is obtained only when we allow more variational parameters in the charged sector than in the vacuum sector. These extra parameters are the...

Source: http://arxiv.org/abs/hep-lat/9811015v2

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Jul 20, 2013
07/13

by
Alex Kovner; Michael Lublinsky

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We develop an approach for calculating the inclusive multigluon production within the JIMWLK high energy evolution. We give a formal expression of multigluon cross section in terms of a generating functional for arbitrary number of gluons $n$. In the dipole limit the expression simplifies dramatically. We recover the previously known results for single and double gluon inclusive cross section and generalize those for arbitrary multigluon amplitude in terms of Feynman diagramms of Pomeron - like...

Source: http://arxiv.org/abs/hep-ph/0609227v2

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10.0

Jun 28, 2018
06/18

by
Alex Kovner; Michael Lublinsky

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We compute the entanglement entropy of soft gluons in the wave function of a fast moving hadron and discuss its basic properties. We also derive the expression for entropy production in a high energy hadronic collision within the Color Glass formalism. We show that long range rapidity correlations give negative contribution to the production entropy. We calculate the (naturally defined) temperature of the produced system of particles, and show that it is proportional to the average transverse...

Topics: High Energy Physics - Phenomenology, High Energy Physics - Theory

Source: http://arxiv.org/abs/1506.05394

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31

Sep 19, 2013
09/13

by
Cesar D. Fosco; Alex Kovner

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We consider the effect of the (heavy) fundamental quarks on the low energy effective Lagrangian description of nonabelian gauge theories in 2+1 dimensions. We show that in the presence of the fundamental charges, the magnetic $Z_N$ symmetry becomes local. We construct the effective Lagrangian representing this local symmetry in terms of magnetic vortex fields, and discuss its physical consequences. We show that the finite energy states described by this Lagrangian have distinct bag-like...

Source: http://arxiv.org/abs/hep-th/0010064v1

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Sep 20, 2013
09/13

by
Alex Kovner; Urs Achim Wiedemann

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We show that perturbation theory provides two distinct mechanisms for the power like growth of hadronic cross sections at high energy. One, the leading BFKL effect is due to the growth of the parton density, and is characterized by the leading BFKL exponent. The other mechanism is due to the infrared diffusion, or the long range nature of the Coulomb field of perturbatively massless gluons. When perturbative saturation effects are taken into account, the first mechanism is rendered ineffective...

Source: http://arxiv.org/abs/hep-ph/0204277v1

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Sep 23, 2013
09/13

by
Alex Kovner; J. Guilherme Milhano

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We reconsider the evolution equations for multigluon correlators derived in hep-ph/9709432. We show how to derive these equations directly in terms of vector potentials (or colour field strength) avoiding the introduction of the concept of colour charge density in the intermediate steps. The two step procedure of deriving the evolution of the charge density correlators followed by the solution of classical equations for the vector potentials is shown to be consistent with direct derivation of...

Source: http://arxiv.org/abs/hep-ph/9904420v2

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62

Sep 17, 2013
09/13

by
Ian I. Kogan; Alex Kovner

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We perform a variational calculation in the SU(N) Yang Mills theory in 3+1 dimensions. Our trial variational states are explicitly gauge invariant, and reduce to simple Gaussian states in the zero coupling limit. Our main result is that the energy is minimized for the value of the variational parameter away form the perturbative value. The best variational state is therefore characterized by a dynamically generated mass scale $M$. This scale is related to the perturbative scale $\Lambda_{QCD}$...

Source: http://arxiv.org/abs/hep-th/9408081v1

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2.0

Jun 30, 2018
06/18

by
Ibrahim B. Ilhan; Alex Kovner

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We analyze conformal gravity in translationally invariant approximation, where the metric is taken to depend on time but not on spatial coordinates. We find that the field mode which in perturbation theory has a ghostlike kinetic term, turns into a tachyon when nonlinear interaction is accounted for. The kinetic term and potential for this mode have opposite signs. Solutions of nonlinear classical equations of motion develop a singularity in finite time determined by the initial conditions.

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology, General Relativity and Quantum...

Source: http://arxiv.org/abs/1403.4664

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3.0

Jun 28, 2018
06/18

by
Alex Kovner; Amir H. Rezaeian

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We obtain prompt di-photon cross-section in proton-nucleus collisions in Hamiltonian light-cone approach within a hybrid approximation, treating the projectile proton in the parton model and the target nucleus in the Color-Glass-Condensate approach. We study in details the di-photon correlations in quark-nucleus and proton-nucleus collisions at RHIC and the LHC. We show that the single fragmentation di-photon produces the away side correlations peak, and the double fragmentation component of...

Topics: High Energy Physics - Phenomenology, Nuclear Theory, Nuclear Experiment, High Energy Physics -...

Source: http://arxiv.org/abs/1508.02412

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Jul 20, 2013
07/13

by
Alex Kovner; J. Guilherme Milhano

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We review attempts to apply the variational principle to understand the vacuum of non-abelian gauge theories. In particular, we focus on the method explored by Ian Kogan and collaborators, which imposes exact gauge invariance on the trial Gaussian wave functional prior to the minimization of energy. We describe the application of the method to a toy model -- confining compact QED in 2+1 dimensions -- where it works wonderfully and reproduces all known non-trivial results. We then follow its...

Source: http://arxiv.org/abs/hep-ph/0406165v1

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33

Sep 22, 2013
09/13

by
Ian I. Kogan; Alex Kovner

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We consider, from several complementary perspectives, the physics of confinement and deconfinement in the 2+1 dimensional Georgi-Glashow model. Polyakov's monopole plasma and 't Hooft's vortex condensation are discussed first. We then discuss the physics of confining strings at zero temperature. We review the Hamiltonian variational approach and show how the linear confining potential arises in this framework. The second part of this review is devoted to study of the deconfining phase...

Source: http://arxiv.org/abs/hep-th/0205026v1

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3.0

Jun 28, 2018
06/18

by
Ibrahim Burak Ilhan; Alex Kovner

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In this note we continue to pursue the question whether gauge theories can be represented in terms of effective "scalar" degrees of freedom. We provide such a consistent representation for a free photon theory in 3+1 dimensions. Building on results of [1] we construct a Lagrangian with a four derivative kinetic term, and demonstrate that despite seeming nonlinearity of the theory it is equivalent to a theory of a free photon.

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1511.03889

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Sep 22, 2013
09/13

by
Gerald V. Dunne; Alex Kovner

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We estimate the splitting between the spatial correlation lengths in the scalar and pseudoscalar channels in QCD at high temperature. The splitting is due to the contribution of the instanton/anti-instanton chains in the thermal ensemble, even though instanton contributions to thermodynamic quantities are suppressed. The splitting vanishes at asymptotically high temperatures as $\Delta M/M\propto (\Lambda_{QCD}/T)^b$, where $b$ is the beta function coefficient.

Source: http://arxiv.org/abs/1004.1075v1

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64

Sep 21, 2013
09/13

by
Ibrahim Burak Ilhan; Alex Kovner

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We give a simple discussion of ghosts, unitarity violation, negative norm states and quantum vs classical behavior in the simplest model with four derivative action - the Pais-Uhlenbeck oscillator. We also point out that the normalizable "vacuum state" (in the sense defined below) of this model can be understood as spontaneous breaking of the emergent conformal symmetry. We provide an example of an interacting system that couples the "particle" and "ghost" degrees...

Source: http://arxiv.org/abs/1301.4879v1

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2.0

Jun 30, 2018
06/18

by
Alex Kovner; Amir H. Rezaeian

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We consider semi-inclusive diphoton+jet and inclusive diphoton production in high-energy proton-nucleus collisions, treating the target nucleus as a Color-Glass-Condensate and the projectile proton in the parton model. We obtain the prompt diphoton production cross-section in terms of fragmentation and direct contributions. The fragmentation part is given in terms of single-photon and double-photon fragmentation functions. We study prompt, direct and fragmentation diphoton correlations in p+p...

Topics: High Energy Physics - Phenomenology, Nuclear Experiment, Nuclear Theory

Source: http://arxiv.org/abs/1404.5632

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31

Sep 22, 2013
09/13

by
Alex Kovner; Urs Achim Wiedemann

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We give a simple quantum mechanical formulation of the eikonal propagation approximation, which has been heavily used in recent years in problems involving hadronic interactions at high energy. This provides a unified framework for several approaches existing in the literature. We illustrate this scheme by calculating the total, elastic, inelastic and diffractive DIS cross sections, as well as gluon production in high energy hadronic collisions. From the q-qbar-g-component of the DIS cross...

Source: http://arxiv.org/abs/hep-ph/0106240v2

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Sep 22, 2013
09/13

by
Ian I. Kogan; Alex Kovner

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We apply a simple mean field like variational calculation to compact QED in 2+1 dimensions. Our variational ansatz explicitly preserves compact gauge invariance of the theory. We reproduce in this framework all the known results, including dynamical mass generation, Polyakov scaling and the nonzero string tension. It is hoped that this simple example can be a useful reference point for applying similar approximation techniques to nonabelian gauge theories.

Source: http://arxiv.org/abs/hep-th/9410067v1

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3.0

Jun 30, 2018
06/18

by
Alex Kovner; Michael Lublinsky; Yair Mulian

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We construct the Next to Leading Order JIMWLK Hamiltonian for high energy evolution in ${\cal N}=4$ SUSY theory, and show that it possesses conformal invariance, even though it is derived using sharp cutoff on rapidity variable. The conformal transformation properties of Wilson lines are not quite the naive ones, but at NLO acquire an additional anomalous piece. We construct explicitly the inversion symmetry generator. We also show how to construct for every operator $O$, including the...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1401.0374

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Sep 21, 2013
09/13

by
Tolga Altinoluk; Alex Kovner; Javier Peressutti

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The high energy evolution equations that describe the evolution of hadronic amplitudes with energy are derived assuming eikonal interaction of the evolved hadronic wave function with the target. In this note we remark that this derivation allows a different interpretation, whereby the hadronic wave function is not evolved, but instead the evolution acts on the S - matrix operator. In this approach, analogous to the Heisenberg picture of Quantum mechanics, the scattering is not eikonal and...

Source: http://arxiv.org/abs/0709.0476v1

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Sep 21, 2013
09/13

by
Tolga Altinoluk; Alex Kovner; Michael Lublinsky

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We continue the study of hadronic scattering amplitudes at high energy by systematically including nonlinear effects of finite partonic density in hadronic wave function as well as the effects of multiple rescatterings in the scattering process. In this paper we derive expressions for a single inclusive gluon production amplitude and multigluon inclusive production amplitudes when the rapidities of all observed gluons are not very different. We show that at leading order these observables...

Source: http://arxiv.org/abs/0901.2560v1

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Sep 22, 2013
09/13

by
Tolga Altinoluk; Alex Kovner; Eugene Levin

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We investigate the relation between the eigenvalues and eigenfunctions of the BFKL and JIMWLK/KLWMIJ Hamiltonians. We show that the eigenvalues of the BFKL Hamiltonians are also {\it exact} eigenvalues of the KLWMIJ (and JIMWLK) Hamiltonian, albeit corresponding to possibly non normalizable eigenfunctions. The question whether a given eigenfunction of BFKL corresponds to a normalizable eigenfunction of KLWMIJ is rather complicated, except in some obvious cases, and requires independent...

Source: http://arxiv.org/abs/1004.5113v1

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2.0

Jun 29, 2018
06/18

by
Alex Kovner; Eugene Levin; Michael Lublinsky

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We point out that the $s$-channel unitarity of QCD imposes meaningful constraints on a possible form of the QCD Reggeon Field Theory. We show that neither the BFKL nor JIMWLK nor Braun's Hamiltonian satisfy the said constraints. In a toy, zero transverse dimensional case we construct a model that satisfies the analogous constraint and show that at infinite energy it indeed tends to a "black disk limit" as opposed to the model with triple Pomeron vertex only, routinely used as a toy...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1605.03251

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Sep 20, 2013
09/13

by
Edwin Langmann; Manfred Salmhofer; Alex Kovner

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We analyze the Gribov problem for $\SU(N)$ and $\U(N)$ Yang-Mills fields on $d$-dimensional tori, $d=2,3,\ldots$. We give an improved version of the axial gauge condition and find an infinite, discrete group $\cG'=\Z^{dr}\rtimes({\Z_2}^{N-1}\rtimes\Z_2)$, where $r=N-1$ for $\GG=\SU(N)$ and $r=N$ for $\GG=\U(N)$, containing all gauge transformations compatible with that condition. This residual gauge group $\cG'$ provides (generically) all Gribov copies and allows to explicitly determine the...

Source: http://arxiv.org/abs/hep-th/9308115v1

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Sep 18, 2013
09/13

by
Gerald Dunne; Alex Kovner; Bayram Tekin

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We study the locality properties of the vortex operators in compact U(1) Maxwell-Chern-Simons and SU(N) Yang-Mills-Chern-Simons theories in 2+1 dimensions. We find that these theories do admit local vortex operators and thus in the UV regularized versions should contain stable magnetic vortices. In the continuum limit however the energy of these vortex excitations generically is logarithmically UV divergent. Nevertheless the classical analysis shows that at small values of CS coefficient...

Source: http://arxiv.org/abs/hep-th/0008139v1

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Sep 22, 2013
09/13

by
Alex Kovner; Larry McLerran; Heribert Weigert

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We consider the production of high transverse momentum gluons in the McLerran-Venugopalan model of nuclear structure functions. We explicitly compute the high momentum component in this model. We compute the nuclear target size $A$ dependence of the distribution of produced gluons.

Source: http://arxiv.org/abs/hep-ph/9505320v1

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Sep 18, 2013
09/13

by
Alex Kovner; Michael Lublinsky; Urs Wiedemann

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We derive the evolution of a hadronic light cone wave function with energy at weak coupling. Our derivation is valid both in the high and the low partonic density limit, and thus encompasses both the JIMWLK and the KLWMIJ evolution. The hadronic wave function is shown to evolve by the action of the Bogoliubov-type operator, which diagonalizes on the soft gluon sector the light-cone hamiltonian in the presence of an arbitrary valence charge density. We find explicitly the action of this operator...

Source: http://arxiv.org/abs/0705.1713v1

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2.0

Jun 30, 2018
06/18

by
Alex Kovner; Michael Lublinsky; Yair Mulian

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In Ref. [1] we presented the JIMWLK Hamiltonian for high energy evolution of QCD amplitudes at the next-to-leading order accuracy in $\alpha_s$. In the present paper we provide details of our original derivation, which was not reported in [1], and provide the Hamiltonian in the form appropriate for action on color singlet as well as color nonsinglet states. The rapidity evolution of the quark dipole generated by this Hamiltonian is computed and compared with the corresponding result of Balitsky...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1405.0418

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Sep 20, 2013
09/13

by
Arsen Khvedelidze; Alex Kovner; David McMullan

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We calculate the change in the ultraviolet behaviour of the vortex operator due to the presence of dynamical Higgs field in both 2+1 dimensional QED and the 2+1 dimensional Georgi-Glashow model. We find that in the QED case the presence of the Higgs field leads at the one loop level to power like correction to the propagator of the vortex operator. On the other hand, in the Georgi-Glashow model, the adjoint Higgs at one loop has no affect on the vortex propagator. Thus, as long as the mass of...

Source: http://arxiv.org/abs/hep-th/0405122v1

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2.0

Jun 29, 2018
06/18

by
Candost Akkaya; Ibrahim Burak Ilhan; Alex Kovner

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We study correlations functions of magnetic vortices $V$ and Polyakov loop $P$ operators in the 2+1 dimensional Georgi-Glashow model in the vicinity of the deconfining phase transition. In this regime the (dimensionally reduced) model is mapped onto a free theory of two massive Majorana fermions. We utilize this fermionic representation to explicitly calculate the expectation values of $V$ and $P$ as well as their correlators. In particular we show that the $VV$ correlator is large, and thus...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1612.07267

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Sep 19, 2013
09/13

by
Jamal Jalilian-Marian; Alex Kovner; Heribert Weigert

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We derive the complete Wilson renormalization group equation which governs the evolution of the gluon distribution and other gluonic observables at low $x$ and arbitrary density.

Source: http://arxiv.org/abs/hep-ph/9709432v2

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Sep 21, 2013
09/13

by
Ian. I Kogan; Alex Kovner; Bayram Tekin

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We analyse the deconfining phase transition in the SU(N) Georgi-Glashow model in 2+1 dimensions. We show that the phase transition is second order for any N, and the universality class is different from the Z(N) invariant Villain model. At large N the conformal theory describing the fixed point is a deformed SU(N)_1 WZNW model which has N-1 massless fields. It is therefore likely that its self-dual infrared fixed point is described by the Fateev-Zamolodchikov theory of Z(N) parafermions.

Source: http://arxiv.org/abs/hep-th/0104047v1

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Sep 20, 2013
09/13

by
Francis J. Alexander; Salman Habib; Alex Kovner

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We investigate the thermal equilibrium properties of kinks in a classical $\F^4$ field theory in $1+1$ dimensions. From large scale Langevin simulations we identify the temperature below which a dilute gas description of kinks is valid. The standard dilute gas/WKB description is shown to be remarkably accurate below this temperature. At higher, ``intermediate'' temperatures, where kinks still exist, this description breaks down. By introducing a double Gaussian variational ansatz for the...

Source: http://arxiv.org/abs/hep-th/9308103v1

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Sep 24, 2013
09/13

by
Ian. I Kogan; Alex Kovner; Martin Schvellinger

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We study the behaviour of Polyakov confining string in the Georgi-Glashow model in three dimensions near confining-deconfining phase transition described in hep-th/0010201. In the string language, the transition mechanism is the decay of the confining string into D0 branes (charged W bosons of the Georgi-Glashow model). In the world-sheet picture the world-lines of heavy D0 branes at finite temperature are represented as world-sheet vortices of a certain type, and the transition corresponds to...

Source: http://arxiv.org/abs/hep-th/0103235v1

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35

Sep 18, 2013
09/13

by
Ian I. Kogan; Alex Kovner; Bayram Tekin

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We draw an analogy between the deconfining transition in the 2+1 dimensional Georgi-Glashow model and the chiral phase transition in 3+1 dimensional QCD. Based on the detailed analysis of the former (hep-th/0010201) we suggest that the chiral symmetry restoration in QCD at high temperature is driven by the thermal ensemble of baryons and anti-baryons. The chiral symmetry is restored when roughly half of the volume is occupied by the baryons. Surprisingly enough, even though baryons are rather...

Source: http://arxiv.org/abs/hep-ph/0101040v2

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Sep 18, 2013
09/13

by
Ian I. Kogan; Alex Kovner; Bayram Tekin

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We show that correlators of some local operators in gauge theories are sensitive to the presence of the instantons even at high temperature where the latter are bound into instanton-anti-instanton "molecules". We calculate correlation functions of such operators in the deconfined phase of the 2+1 dimensional Georgi-Glashow model and discuss analogous quantities in the chirally symmetric phase of QCD. We clarify the mechanism by which the instanton-anti-instanton molecules contribute...

Source: http://arxiv.org/abs/hep-th/0101171v2

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74

Sep 22, 2013
09/13

by
Alex Kovner; J. Guilherme Milhano; Heribert Weigert

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We analyze the relation between evolution equations at low x that have been derived in different approaches in the last several years. We show that the equation derived by Balitsky and Kovchegov is obtained from the Jalilian-Marian-Kovner-Leonidov-Weigert (JKLW) equation in the limit of small induced charge density. We argue that the higher nonlinearities resummed by the JKLW equation correspond, in physical terms, to the breakdown of the eikonal approximation when the gluon fields in the...

Source: http://arxiv.org/abs/hep-ph/0004014v1

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73

Jul 20, 2013
07/13

by
Ian I. Kogan; Alex Kovner; Mikhail Shifman

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Various features of domain walls in supersymmetric gluodynamics are discussed. We give a simple field-theoretic interpretation of the phenomenon of strings ending on the walls recently conjectured by Witten. An explanation of this phenomenon in the framework of gauge field theory is outlined. The phenomenon is argued to be particularly natural in supersymmetric theories which support degenerate vacuum states with distinct physical properties. The issue of existence (or non-existence) of the BPS...

Source: http://arxiv.org/abs/hep-th/9712046v2