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We report on a high precision Montecarlo test of the three dimensional Ising gauge model at finite temperature. The string tension $\sigma$ is extracted from the expectation values of correlations of Polyakov lines. Agreement with the…

High Energy Physics - Lattice · Physics 2015-06-25 M. Caselle , R. Fiore , F. Gliozzi , S. Vinti

We study the three-dimensional SU(2) lattice gauge theory at finite temperature using an observable which is dual to the Wilson line. This observable displays a behaviour which is the reverse of that seen for the Wilson line. It is non-zero…

High Energy Physics - Lattice · Physics 2009-10-30 Srinath Cheluvaraja

We study the behaviour of the interquark potential in lattice gauge theories at high temperature, but still in the confining phase, and propose a new observable which could play in this regime the same role played by the Luscher term in the…

High Energy Physics - Lattice · Physics 2015-03-18 Michele Caselle , Alessandra Feo , Marco Panero , Roberto Pellegrini

A candidate for the confining string of gauge theories is constructed via a representation of the ultraviolet divergences of quantum field theory by a closed string dilaton insertion, computed through the soft dilaton theorem. The resulting…

High Energy Physics - Theory · Physics 2015-06-26 Enrique Alvarez , Cesar Gomez

Structure of confining string in terms of the topological charge density and the action density is studied in SU(2) Yang-Mills theory on the lattice using HP1 sigma-model embedding approach. We find that the confining flux tube noticeably…

High Energy Physics - Lattice · Physics 2008-11-26 M. N. Chernodub , F. V. Gubarev

I show how one can use lattice methods to calculate various continuum properties of SU(N) gauge theories; in part to explore old ideas that N=3 might be close to N=infinity. I describe calculations of the low-lying `glueball' mass spectrum,…

High Energy Physics - Lattice · Physics 2009-11-07 M. Teper

We study the pure SU(3) gauge theory in 2+1 dimensions on the lattice using 't Hooft's twisted boundary conditions to force non-vanishing center flux through the finite volume. In this way we measure the free energy of spacelike center…

High Energy Physics - Lattice · Physics 2010-12-06 Nils Strodthoff , Sam R. Edwards , Lorenz von Smekal

An effective spin model for the finite temperature non-abelian lattice gauge theory is derived. The outcome is the surprising result that only nearest neighbor coupling survives, thus confirming the well known numerical results that the…

High Energy Physics - Lattice · Physics 2007-05-23 Z. K. Zhu , D. H Feng

We investigate the structure of confining and deconfining phases in SU(2) lattice gauge theory via persistent homology, which gives us access to the topology of a hierarchy of combinatorial objects constructed from given data. Specifically,…

High Energy Physics - Lattice · Physics 2023-03-01 Daniel Spitz , Julian M. Urban , Jan M. Pawlowski

For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed by extrapolating spatial volumes of size $N_s\le 18$ to $N_s\to\infty$. Within the numerical…

High Energy Physics - Lattice · Physics 2008-11-26 Bernd A. Berg , Alexei Bazavov

We calculate the energy spectrum of a confining flux tube that is closed around a spatial torus, as a function of its length l. We do so for various SU(N) gauge theories in 3+1 dimensions, and for various values of spin, parity and…

High Energy Physics - Lattice · Physics 2011-02-15 Andreas Athenodorou , Barak Bringoltz , Michael Teper

String breaking is an intriguing phenomenon crucial to the understanding of lattice gauge theories (LGTs), with strong relevance to both condensed matter and high-energy physics (HEP). Recent experiments investigating string breaking in…

Quantum Physics · Physics 2025-01-31 Umberto Borla , Jesse J. Osborne , Sergej Moroz , Jad C. Halimeh

Wilson loops provide the central gauge-invariant probe of confinement in lattice gauge theory. This survey reviews the statistical-mechanical formulation of lattice gauge ensembles, the strong-coupling and duality mechanisms behind area…

Statistical Mechanics · Physics 2026-05-14 Ethan Zhou , Marcus Reed , Caleb Hayes

We have verified various proposals that were suggested in our last paper concerning the continuum limit of a compact formulation of the lattice U(1) pure gauge theory in 4 dimensions using a nonperturbative gauge-fixed regularization. Our…

High Energy Physics - Lattice · Physics 2007-05-23 Asit K. De , Tilak Sinha

We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, $0 < \beta <\infty$, defined at lattice spacing a. The approach employed is to obtain both upper and…

High Energy Physics - Lattice · Physics 2009-11-10 E. T. Tomboulis

We have measured the correlation function of Polyakov loops on the lattice in three dimensional SU(3) gauge theory near its finite temperature phase transition. Using a new and powerful application of finite size scaling, we furthermore…

High Energy Physics - Lattice · Physics 2015-06-12 Piotr Bialas , Lukasz Daniel , Andre Morel , Bengt Petersson

The quest to develop an effective string theory capable of describing the confining flux tube has been a longstanding objective within the theoretical physics community. Recent lattice results indicate that the low-lying spectrum of the…

High Energy Physics - Lattice · Physics 2024-11-26 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

Coupling dynamical charges to gauge fields can result in highly non-local interactions with a linear confining potential. As a consequence, individual particles bind into mesons which, in one dimension, become the new constituents of…

It is argued that the effective string of whatever 3D gauge system at the deconfining transition is universally described by the minimal $N=2$ extended superconformal theory at $c=1$. A universal value of the critical temperature is…

High Energy Physics - Theory · Physics 2009-10-22 M. Caselle , F. Gliozzi

We study the behaviour of the flux tube in the reconfined phase of the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2 + 1) dimensions. In this phase the Polyakov loop has a vanishing expectation value (and center symmetry is…

High Energy Physics - Lattice · Physics 2025-01-24 Caludio Bonati , Michele Caselle , Alessio Negro , Dario Panfalone , Lorenzo Verzichelli