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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

We discuss Wilson loop averages in 4-dimensional non-commutative superYang-Mills theory using the dual supergravity description. We postulate that the Wilson loops are located at the mimimum length scale $R$ in the fifth radial coordinate.…

High Energy Physics - Theory · Physics 2009-10-31 A. Dhar , Y. Kitazawa

We study 1/2-BPS Wilson loop operators in maximally supersymmetric Yang-Mills theory on $d$-dimensional spheres. Their vacuum expectation values can be computed at large $N$ through supersymmetric localisation. The holographic duals are…

High Energy Physics - Theory · Physics 2025-04-08 Davide Astesiano , Pieter Bomans , Fridrik Freyr Gautason , Valentina Giangreco M. Puletti , Alexia Nix

The pinning of flux lattices by weak impurity disorder is studied in the absence of free dislocations using both the gaussian variational method and, to $O(\epsilon=4-d)$, the functional renormalization group. We find universal logarithmic…

Condensed Matter · Physics 2009-10-22 T. Giamarchi , P. Le Doussal

In this paper we investigate the Wightman function, the renormalized vacuum expectation values of the field square, and the energy-momentum tensor for a massive scalar field with general curvature coupling inside and outside of a…

High Energy Physics - Theory · Physics 2009-11-11 E. R. Bezerra de Mello , V. B. Bezerra , A. A. Saharian , A. S. Tarloyan

I propose a class of D\geq{2} lattice SU(N) gauge theories dual to certain vector models endowed with the local [U(N)]^{D} conjugation-invariance and Z_{N} gauge symmetry. In the latter models, both the partitition function and Wilson loop…

High Energy Physics - Theory · Physics 2007-05-23 Andrey Dubin

In this work, based on the Petrov-Diakonov representation of the Wilson loop average W in the SU(2) Yang-Mills theory, together with the Cho-Fadeev-Niemi decomposition, we present a natural framework to discuss possible ideas underlying…

High Energy Physics - Theory · Physics 2010-12-21 L. E. Oxman

We write the 4-point Green function in QCD in the Feynman-Schwinger representation and show that all the dynamical information are contained in the Wilson loop average. We work out the QED case in order to obtain the usual Bethe-Salpeter…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nora Brambilla , Antonio Vairo

I propose to reformulate the gauge field theory as the perturbative deformation of a novel topological quantum field theory. It is shown that this reformulation leads to quark confinement in QCD$_4$. Similarly, the fractional charge…

High Energy Physics - Theory · Physics 2007-05-23 Kei-Ichi Kondo

The nonabelian Stokes theorem, representing a Wilson loop as an integral over all the orientations in colour space, and the cumulant expansion are used for derivation of the string effective action in SU(2) gluodynamics. The obtained theory…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Antonov , D. Ebert

In earlier work we proposed a string theory dual to two dimensional Yang-Mills theory at zero coupling (which can also be thought of as a $BF$ theory), given by a Polyakov-like generalization of Ho\v rava's topological rigid string theory,…

High Energy Physics - Theory · Physics 2025-10-28 Ofer Aharony , Suman Kundu , Tal Sheaffer

We introduce dressed Wilson loops as a novel confinement observable. It consists of closed planar loops of arbitrary geometry but fixed area and its expectation values decay with the latter. The construction of dressed Wilson loops is based…

High Energy Physics - Lattice · Physics 2011-11-23 Falk Bruckmann , Gergely Endrodi

We modify the recent analytic formula given by Allen and Casper for the rate at which piecewise linear cosmic string loops lose energy to gravitational radiation to yield the analogous analytic formula for the rate at which loops radiate…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Bruce Allen , Paul Casper , Adrian Ottewill

We consider a periodically perforated domain obtained by making in R^n a periodic set of holes, each of them of size proportional to \epsilon. Then we introduce a nonlinear boundary value problem for the Lam\'e equations in such a…

Analysis of PDEs · Mathematics 2013-06-27 Matteo Dalla Riva , Paolo Musolino

We define the absolute Wilson loop winding and prove that it bounds the (integrated) quantum metric from below. This Wilson loop lower bound naturally reproduces the known Chern and Euler bounds of the integrated quantum metric and provides…

Mesoscale and Nanoscale Physics · Physics 2025-08-22 Jiabin Yu , Jonah Herzog-Arbeitman , B. Andrei Bernevig

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Baker

Following the thread of R. Gastmans, S. L. Wu and T. T. Wu, the calculation in the unitary gauge for the $H \to \gamma \gamma$ process via one W loop is repeated, but without the specific choice of the independent loop momentum for the…

High Energy Physics - Phenomenology · Physics 2023-05-24 Shi-Yuan Li , Zong-Guo Si , Xiao-Feng Zhang

In this thesis we consider four dimensional N=2 superconformal field theories, in presence of line defects such as Wilson loops. In this set up, using supersymmetric localization, we compute many observables, such as the vacuum expectation…

High Energy Physics - Theory · Physics 2020-05-11 Francesco Galvagno

I consider the question of the interaction between a QCD string and the spin of a quark or an antiquark on whose worldline the string terminates. The problem is analysed from the point of view of a string representation for the expectation…

High Energy Physics - Theory · Physics 2008-11-26 Vikram Vyas

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann