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We calculate various Wilson loop averages in a pure $SU(N)$-gauge theory on a two-dimensional sphere, in the large $N$ limit. The results can be expressed through the density of rows in the most probable Young tableau. They are valid in…

High Energy Physics - Theory · Physics 2009-10-22 Jean-Marc DAUL , Vladimir A. KAZAKOV

It is well-known that on-shell maximally helicity-violating gluon scattering amplitudes in maximally supersymmetric Yang-Mills theory are dual to a bosonic Wilson loop on a null-polygonal contour. The light-like nature of the intervals is a…

High Energy Physics - Theory · Physics 2022-08-02 A. V. Belitsky , V. A. Smirnov

This article gives a rigorous formulation and proof of the $1/N$ expansion for Wilson loop expectations in strongly coupled $SU(N)$ lattice gauge theory in any dimension. The coefficients of the expansion are represented as absolutely…

Probability · Mathematics 2016-10-13 Jafar Jafarov

We estimate the temperature dependence of the gluon condensate from the Polyakov loop effective potential. It is presented how this analytic approach provides a simple picture for the electric gluon condensate around the deconfinement…

High Energy Physics - Phenomenology · Physics 2018-03-14 J. P. Carlomagno , J. C. Rojas

We present the two-loop pure gauge contribution to the gluon-gluon scattering amplitude with maximal helicity violation. Our construction of the amplitude does not rely directly on Feynman diagrams, but instead uses its analytic properties…

High Energy Physics - Phenomenology · Physics 2011-06-27 Z. Bern , L. Dixon , D. A. Kosower

Correlation functions of Landau gauge Yang-Mills theory are calculated from their equations of motion. Solutions for the three- and four-gluon vertices and the role of two-loop diagrams in the gluon propagator equation are discussed.

High Energy Physics - Phenomenology · Physics 2019-09-25 Markus Q. Huber

We test the unified-gauge formalism by computing a Wilson loop in Yang-Mills theory to one-loop order. The unified-gauge formalism is characterized by the abritrary, but fixed, four-vector $N_\mu$, which collectively represents the…

High Energy Physics - Theory · Physics 2007-05-23 Brian J. Hand , George Leibbrandt

The world-line formalism is used for the evaluation of the mixed heavy-quark-gluon condensate in two models of QCD - the stochastic vacuum model and the dual superconductor one. Calculations are performed for an arbitrary dimensionality of…

High Energy Physics - Phenomenology · Physics 2014-11-18 Dmitri Antonov

In this paper we study Wilson loops in various representations for finite and large values of the color gauge group for supersymmetric ${\cal N}=4$ gauge theories. We also compute correlators of Wilson loops in different representations and…

High Energy Physics - Theory · Physics 2018-11-14 Ekaterina Sysoeva

We extend the AdS/CFT prescription of Alday and Maldacena to finite temperature $T$, defining the amplitude for gluon scattering in ${\cal N}=4$ Super Yang-Mills at strong coupling from string theory. It is defined by a lightlike ''Wilson…

High Energy Physics - Theory · Physics 2008-11-26 Katsushi Ito , Horatiu Nastase , Koh Iwasaki

It was suggested in hep-th/0002106, that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to…

High Energy Physics - Theory · Physics 2009-10-31 M. Zyskin

We study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

Three-dimensional bond or site percolation theory on a lattice can be interpreted as a gauge theory in which the Wilson loops are viewed as counters of topological linking with random clusters. Beyond the percolation threshold large Wilson…

Statistical Mechanics · Physics 2008-11-26 F. Gliozzi , S. Lottini , M. Panero , A. Rago

Ideas about a duality between gauge fields and strings have been around for many decades. During the last ten years, these ideas have taken a much more concrete mathematical form. String descriptions of the strongly coupled dynamics of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kasper Peeters , Marija Zamaklar

We calculate circular Wilson loop expectation value of pure ${\cal N}=1$ super Yang-Mills from the Klebanov-Strassker-Tseytlin solution of supergravity and the proposed gauge/gravity duality. The calculation is performed numerically via…

High Energy Physics - Theory · Physics 2007-05-23 Xiao-Jun Wang , Sen Hu

We present a computer library for the numerical evaluation of colour-ordered n-gluon amplitudes at one-loop order in pure Yang-Mills theory. The library uses the recently developed technique of generalised unitarity. Running in double…

High Energy Physics - Phenomenology · Physics 2013-03-05 Simon Badger , Benedikt Biedermann , Peter Uwer

We present a new perspective on the nature of quark and gluon condensates in quantum chromodynamics. We suggest that the spatial support of QCD condensates is restricted to the interiors of hadrons, since these condensates arise due to the…

High Energy Physics - Theory · Physics 2014-11-03 Stanley J. Brodsky , Robert Shrock

We make an estimate of the quadratic correction in the pressure of cold quark matter using gauge/string duality.

High Energy Physics - Phenomenology · Physics 2010-06-17 Oleg Andreev

We study planar gluon scattering amplitudes and Wilson loops in non-commutative gauge theory. Our main results are: 1. We find the map between observables in non-commutative gauge theory and their holographic dual. In that map, the region…

High Energy Physics - Theory · Physics 2009-04-17 Amit Sever

We exhibit the gauge-group independence (``universality'') of all normalized non-intersecting Wilson loop expectation values in the large N limit of two-dimensional Yang-Mills theory. This universality is most easily understood via the…

High Energy Physics - Theory · Physics 2016-09-06 M. Crescimanno , S. Naculich , H. J. Schnitzer
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