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We analyze the $1/\theta$ and 1/N expansions of the Wilson loop averages $<W(C)>_{U_\theta (N)}$ in the two-dimensional noncommutative $U_\theta (N)$ gauge theory with the parameter of noncommutativity $\theta$. For a generic rectangular…

High Energy Physics - Theory · Physics 2008-11-26 Jan Ambjorn , Andrei Dubin , Yuri Makeenko

We investigate a class of operators with non-vanishing averages in a D-dimensional matrix model recently proposed by Kazakov and Migdal. Among the operators considered are ``filled Wilson loops" which are the most reasonable counterparts of…

High Energy Physics - Theory · Physics 2009-10-22 I. I. Kogan , A. Morozov , G. W. Semenoff , N. Weiss

Many Texo's have been corrected and a reference added.

High Energy Physics - Theory · Physics 2008-11-26 David J. Gross , Washington Taylor

We use AdS/QCD to analyze the quark and gluon scalar and pseudo-scalar condensates around static color sources described by a circular Wilson loop. We also derive the static dipole-dipole interactions between rectangular Wilson loops in…

High Energy Physics - Phenomenology · Physics 2015-06-22 Yizhuang Liu , Ismail Zahed

The eigenvalue density of a Wilson loop matrix W associated with a simple loop in two-dimensional Euclidean SU(N) Yang-Mills theory undergoes a phase transition at a critical size in the infinite-N limit. The averages of 1/det(z-W) and…

High Energy Physics - Theory · Physics 2014-11-20 Robert Lohmayer

Quantum phase slips have received much attention due to their relevance to superfluids in reduced dimensions and to models of cosmic string production in the Early Universe. Their establishment in one-dimensional superconductors has…

Superconductivity · Physics 2009-11-11 Fabio Altomare , Albert M. Chang , Michael R. Melloch , Yuguang Hong , Charles W. Tu

Using Monte Carlo simulation, we study a fluid of two-dimensional hard rods inside a small circular cavity bounded by a hard wall, from the dilute regime to the high-density, layering regime. Both planar and homeotropic anchoring of the…

Soft Condensed Matter · Physics 2014-02-04 Daniel de las Heras , Enrique Velasco

String representations of the Wilson loop are constructed in the SU(N)-version of compact QED in three and four dimensions. This is done exactly in the case of the fundamental Wilson loop and in the large-N limit in the case of the adjoint…

High Energy Physics - Theory · Physics 2010-04-15 Dmitri Antonov

We report studies of the behaviour of a single driven domain wall in the 2-dimensional non-equilibrium zero temperature random-field Ising model, closely above the depinning threshold. It is found that even for very weak disorder, the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Barbara Drossel , Karin Dahmen

Universality, encompassing critical exponents, scaling functions, and dimensionless quantities, is fundamental to phase transition theory. In finite systems, universal behaviors are also expected to emerge at the pseudocritical point.…

Statistical Mechanics · Physics 2026-05-26 Qiyuan Shi , Shuo Wei , Youjin Deng , Ming Li

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional…

High Energy Physics - Theory · Physics 2010-11-15 Paul Heslop , Valentin V. Khoze

In Euclidean four-dimensional SU(N) pure gauge theory, eigenvalue distributions of Wilson loop parallel transport matrices around closed spacetime curves show non-analytic behavior (a 'large-N phase transition') at a critical size of the…

High Energy Physics - Lattice · Physics 2011-10-21 Robert Lohmayer , Herbert Neuberger

The density profile of the QCD flux tube is investigated within the framework of the L\"uscher-Weisz (LW) string action with two boundary terms. The transverse action profile and potential between static quarks are considered using Wilson's…

High Energy Physics - Theory · Physics 2023-08-04 M. N. Khalil , A. M. Khalaf , A. S. Bakry , M. Deliyergiyev , A. A. Galal , M. Kotb , M. D. Okasha , G. S. M. Ahmed

Eigenvalues of a Wilson loop operator are gauge invariant and their distribution undergoes a transition at infinite N as the size of the loop is changed. We study this transition using the average characteristic polynomial associated with…

High Energy Physics - Lattice · Physics 2010-01-21 Rajamani Narayanan , Herbert Neuberger

Using covariant phase space formulations for the natural topological invariants associated with the world-surface in closed string theory, we find that certain Wilson loops defined on the world-surface and that preserve topological…

High Energy Physics - Theory · Physics 2015-06-26 R. Cartas-Fuentevilla

In QCD with two massless quarks, the chiral phase transition is plausibly in the same universality class as the classical O(4) magnet. To test this hypothesis, critical exponents characterizing the behaviour of universal quantities near the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Krishna Rajagopal

We study the nonequilibrium phase transition in the one-dimensional contact process with quenched spatial disorder by means of large-scale Monte-Carlo simulations for times up to $10^9$ and system sizes up to $10^7$ sites. In agreement with…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Mark Dickison

We consider critical eigenstates in a two dimensional quasicrystal and their evolution as a function of disorder. By exact diagonalization of finite size systems we show that the evolution of properties of a typical wave-function is…

Disordered Systems and Neural Networks · Physics 2023-03-08 Anuradha Jagannathan , Marco Tarzia

In the planar limit of QCD meson correlation functions can be written as a path-integral for a spin-half particle with each path being weighted by the expectation value of the corresponding Super Wilson Loop. An important quantity in this…

High Energy Physics - Theory · Physics 2007-05-23 Vikram Vyas

We study the critical behavior at nonzero temperature phase transitions of an effective Hamiltonian derived from lattice QCD in the strong-coupling expansion. Following studies of related quantum spin systems that have a similar…

High Energy Physics - Lattice · Physics 2009-11-11 Barak Bringoltz