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We show that, starting from known exact classical solutions of the Yang-Mills theory in three dimensions, the string tension is obtained and the potential is consistent with a marginally confining theory. The potential we obtain agrees…

High Energy Physics - Theory · Physics 2017-04-26 Marco Frasca

In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical…

High Energy Physics - Lattice · Physics 2014-12-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We present a major update on the spectrum of closed flux tubes in $D=3+1$ $SU(N)$ gauge theories. We measure the excitation spectrum of confining strings wound around a spatial dimension of a size $R$. We do so for the $SU(N)$ Yang-Mills…

High Energy Physics - Theory · Physics 2025-12-17 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

Simulations in lattice gauge theory suggest that the formation of a flux tube between quark and antiquark leads to quark confinement. It is conjectured that the infrared behaviour of the flux tube is governed by an effective string theory…

High Energy Physics - Lattice · Physics 2013-08-26 Bastian B. Brandt

We study the volume dependence of electric flux energies for SU(2) gauge theory with twisted boundary conditions. The curves interpolate smoothly between the perturbative semiclassicalresults and the Confinement regime. On the basis of our…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , P. Martinez

We give new descriptions of lattice SU(N) Yang-Mills theory in terms of new lattice variables. The validity of such descriptions has already been demonstrated in the SU(2) Yang-Mills theory by our previous works from the viewpoint of…

High Energy Physics - Lattice · Physics 2008-11-26 K. -I. Kondo , A. Shibata , T. Shinohara , T. Murakami , S. Kato , S. Ito

The dually transformed path integral of four-dimensional U(1) lattice gauge theory is used for the calculation of expectation values in the presence of external charges. Applying the dual simulation to flux tubes for charge distances up to…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

We study some features of the confining string connecting a quark-anti-quark pair in Yang-Mills theory. Monte Carlo investigations of the flux tube between two static quarks in the fundamental representation show that its thickness…

High Energy Physics - Lattice · Physics 2011-03-28 M. Pepe

In pure N=1 supersymmetric Yang-Mills with gauge group SU(N), the domain walls which separate the N vacua have been argued, on the basis of string theory realizations, to be D-branes for the confining string. In a certain limit, this means…

High Energy Physics - Theory · Physics 2009-11-11 Adi Armoni , Timothy J. Hollowood

The three-dimensional U(1) gauge theory displays a peculiar form of confinement which does not fit in the standard paradigm of effective string theory. In this work, we report results of numerical computations of the ground state energy of…

High Energy Physics - Lattice · Physics 2025-09-30 M. Caselle , A. Mariani

Dual superconductivity is believed to be a promising mechanism for quark confinement and has been investigated on a lattice effectively by a particular gauge called the maximal Abelian (MA) gauge. We propose a new formulation of SU(3)…

High Energy Physics - Lattice · Physics 2007-10-18 A. Shibata , S. Kato , K. -I. Kondo , T. Murakami , T. Shinohara , S. Ito

There has been substantial progress in understanding confinement in a class of four-dimensional SU(N) gauge theories using semiclassical methods. These models have one or more compact directions, and much of the analysis is based on the…

High Energy Physics - Theory · Physics 2014-10-08 Michael C. Ogilvie

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

The low energy physics of M theory near certain singularities of $G_2$-holonomy spacetimes can be described by pure N=1 super Yang-Mills theory in four dimensions. In this note we consider the cases when the gauge group is SO(2n), E6, E7 or…

High Energy Physics - Theory · Physics 2007-05-23 B. S. Acharya

There has been substantial progress in understanding a class of SU(N) gauge theories that are confining at high temperatures. This class includes theories with center-symmetric Polyakov loop deformations or with periodic adjoint fermions.…

High Energy Physics - Lattice · Physics 2012-11-07 Michael Ogilvie

We study five dimensional non critical type 0 string theory and its correspondence to non supersymmetric Yang Mills theory in four dimensions. We solve the equations of motion of the low energy effective action and identify a class of…

High Energy Physics - Theory · Physics 2009-10-31 Adi Armoni , Ehud Fuchs , Jacob Sonnenschein

A major result of the Effective String Theory (EST) description of confinement is the so called "low energy universality," which states that the first few terms of the large distance expansion of any EST are universal and coincide with…

High Energy Physics - Lattice · Physics 2024-03-05 Alberto Baffigo , Michele Caselle

The role of instantons in three dimensional N=2 supersymmetric SU(2) Yang-Mills theory is studied, especially in relation to the issue of confinement. The instanton-induced low energy effective action is derived by extending the dilute gas…

High Energy Physics - Theory · Physics 2007-05-23 Hwang-hyun Kwon

I adapt the Gauge String, representing the strong coupling (SC) expansion in the continuous D>=3 Yang-Mills theory (YM_{D}) with a sufficiently large bare coupling constant \lambda>\lambda_{cr} and a fixed ultraviolet cut off \Lambda, to…

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

We study the spatial volume dependence of electric flux energies for SU(2) Yang-Mills fields on the torus with twisted boundary conditions. The results approach smoothly the rotational invariant Confinement regime. The would-be string…

High Energy Physics - Lattice · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Pablo Martinez