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Related papers: Wilson Loops in Large N QCD on a Sphere

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We analytically compute non-global logarithms at finite Nc fully up to 4 loops and partially at 5 loops, for the hemisphere mass distribution in e+e- to di-jets to leading logarithmic accuracy. Our method of calculation relies solely on…

High Energy Physics - Phenomenology · Physics 2015-03-27 Kamel Khelifa-Kerfa , Yazid Delenda

In quenched lattice QCD with standard Wilson fermions the quark propagator is computed very close to the chiral limit in the zero-temperature case. Starting from our experience with lattice QED we employ a modified statistical method in…

High Energy Physics - Lattice · Physics 2009-10-30 A. Hoferichter , E. Laermann , V. K. Mitrjushkin , M. Müller-Preussker , P. Schmidt

The derivation of the explicit formula for the vacuum expectation value of the Wilson loop functional for an arbitrary gauge group on an arbitrary orientable two-dimensional manifold is considered both in the continuum case and on the…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Aroca , Yu. A. Kubyshin

We consider $U(N)$ and $SU(N)$ gauge theory on the sphere. We express the problem in terms of a matrix element of $N$ free fermions on a circle. This allows us to find an alternative way to show Witten's result that the partition function…

High Energy Physics - Theory · Physics 2010-11-01 J. A. Minahan , A. P. Polychronakos

We compute the expectation values of circular Wilson loops in large representations at strong coupling, in the large-N limit of the N=2 superconformal theory with SU(N) gauge group and 2N hypermultiplets. Employing Pestun's matrix integral,…

High Energy Physics - Theory · Physics 2015-06-03 Benedict Fraser , S. Prem Kumar

The main result of this paper is a rigorous computation of Wilson loop expectations in strongly coupled $SO(N)$ lattice gauge theory in the large $N$ limit, in any dimension. The formula appears as an absolutely convergent sum over…

Probability · Mathematics 2017-12-15 Sourav Chatterjee

We reconsider the perturbative expansion of the Wilson loop in 2d noncommutative gauge theories, using an improved integration method. For the class of maximally crossed diagrams in the $\theta \to \infty$ limit we find an intriguing…

High Energy Physics - Theory · Physics 2015-05-14 Paolo Valtancoli

The chromoelectric and chromomagnetic fields, created by a static gluon-quark-antiquark system, are computed in quenched SU(3) lattice QCD, in a $24^3\times 48$ lattice at $\beta=6.2$ and $a=0.07261(85) fm$. We compute the hybrid Wilson…

High Energy Physics - Lattice · Physics 2010-04-06 M. Cardoso , N. Cardoso , P. Bicudo

We study the double-winding Wilson loops in the SU(N) Yang-Mills theory on the lattice. We discuss how the area law falloff of the double-winding Wilson loop average is modified by changing the enclosing contours C1 and C2 for various…

High Energy Physics - Lattice · Physics 2018-04-18 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo , Ryutaro Matsudo

We prove conjecture due to Erickson-Semenoff-Zarembo and Drukker-Gross which relates supersymmetric circular Wilson loop operators in the N=4 supersymmetric Yang-Mills theory with a Gaussian matrix model. We also compute the partition…

High Energy Physics - Theory · Physics 2012-09-21 Vasily Pestun

We discuss the possible relation between certain geometrical properties of the loop space and energy evolution of the cusped Wilson exponentials defined on the light-cone. Analysis of the area differential equations for this special class…

High Energy Physics - Theory · Physics 2012-11-01 I. O. Cherednikov , T. Mertens , F. F. Van der Veken

We find the exact non-perturbative expression for a simple Wilson loop of arbitrary shape for U(N) and SU(N) Euclidean or Minkowskian two-dimensional Yang-Mills theory regulated by the Wu-Mandelstam-Leibbrandt gauge prescription. The result…

High Energy Physics - Theory · Physics 2009-10-30 Matthias Staudacher , Werner Krauth

Some past and ongoing explorations of the spectrum of QCD using Monte Carlo simulations on a space-time lattice are described. Glueball masses in the pure-gauge theory are reviewed, and the energies of gluonic excitations in the presence of…

High Energy Physics - Lattice · Physics 2016-09-01 Colin Morningstar

We present a local, asymptotically free solution of the planar Makeenko--Migdal loop equations in the continuum limit with full Lorentz invariance. The solution is constructed by quantizing internal Majorana fermions (referred to here as…

High Energy Physics - Theory · Physics 2026-04-20 Alexander Migdal

In finite-temperature field theory, the cyclic Wilson loop is defined as a rectangular Wilson loop spanning the whole compactified time direction. In a generic non-abelian gauge theory, we calculate the perturbative expansion of the cyclic…

High Energy Physics - Theory · Physics 2013-03-15 Matthias Berwein , Nora Brambilla , Jacopo Ghiglieri , Antonio Vairo

We have redone a recent two-loop computation of the critical mass for Wilson fermions in lattice QCD by evaluating Feynman integrals with the coordinate-space method. We present the results for different types of infrared regularization. We…

High Energy Physics - Lattice · Physics 2009-11-07 Sergio Caracciolo , Andrea Pelissetto , Antonio Rago

We calculate the thermodynamic functions of a quark-gluon plasma for general N_c and N_f to three-loop order using hard-thermal-loop perturbation theory. At this order, all the ultraviolet divergences can be absorbed into renormalizations…

High Energy Physics - Phenomenology · Physics 2011-03-07 Jens O. Andersen , Lars E. Leganger , Michael Strickland , Nan Su

We present a general formalism for computing the matrix-element squared for the emission of soft energy-ordered gluons beyond two loops in QCD perturbation theory at finite $N_c$. Our formalism is valid in the eikonal approximation. A…

High Energy Physics - Phenomenology · Physics 2016-03-24 Yazid Delenda , Kamel Khelifa-Kerfa

We consider the factorization properties of on-shell QCD amplitudes with massive partons in the limit when all kinematical invariants are large compared to the parton mass and discuss the structure of their infrared singularities. The…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Moch , A. Mitov

The loop equation satisfied by Wilson's loops in QCD is reformulated as a functional Laplace equation. Discretizing the loop space by polygons, Green's function of the functional Laplacian is represented as a path integral of the Euclidean…

High Energy Physics - Theory · Physics 2025-08-14 Yuri Makeenko
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