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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…

高能物理 - 格点 · 物理学 2008-11-26 A. Gonzalez-Arroyo , P. Martinez

We study the 2+1 dimensional SU(N) Yang-Mills theory on a finite two-torus with twisted boundary conditions. Our goal is to study the interplay between the rank of the group N, the length of the torus L and the Z_N magnetic flux. After…

高能物理 - 格点 · 物理学 2013-07-22 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa

We study the behaviour of \SU{2} Yang-Mills fields on a $T_2\times R^2$ geometry where the two-torus is equipped with twisted boundary conditions. We monitor the evolution of the dynamics of the system as a function of the torus size $l_s$.…

高能物理 - 格点 · 物理学 2025-05-16 Georg Bergner , Antonio González-Arroyo , Ivan Soler

We review some recent results related to the notion of volume independence in SU(N) Yang-Mills theories. The topic is discussed in the context of gauge theories living on a d-dimensional torus with twisted boundary conditions. After a brief…

高能物理 - 理论 · 物理学 2014-10-10 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Masanori Okawa

We discuss the perturbative expansion of SU(N) Yang-Mills theories defined on a d-dimensional torus of linear size l with twisted boundary conditions, generalizing previous results in the literature. For a specific class of twist tensors…

高能物理 - 格点 · 物理学 2013-11-15 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Masanori Okawa

It is shown that an effective theory with meron degrees of freedom produces confinement in SU(2) Yang Mills theory. This effective theory is compatible with center symmetry. When the scale is set by the string tension, the action density…

高能物理 - 理论 · 物理学 2008-11-26 F. Lenz , J. W. Negele , M. Thies

In earlier papers we established quark confinement analytically in anisotropic $(2+1)$-dimensional Yang-Mills theory with two gauge coupling constants. Here we point out a few features of the confining phase. These are: 1) the string…

高能物理 - 理论 · 物理学 2008-11-26 Peter Orland

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…

高能物理 - 格点 · 物理学 2011-03-28 M. Pepe

We compute and analyse the low-lying spectrum of 2+1 dimensional $SU(N)$ Yang-Mills theory on a spatial torus of size $l\times l$ with twisted boundary conditions. This paper extends our previous work \cite{Perez:2013dra}. In that paper we…

高能物理 - 理论 · 物理学 2018-08-08 Margarita García Pérez , Antonio González-Arroyo , Mateusz Koren , Masanori Okawa

In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

高能物理 - 格点 · 物理学 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

We inspect the excitation energy spectrum of a confining string in terms of solitons in an effective field theory model. The spectrum can be characterized by a spectral function, and twisting and bending of the string is manifested by the…

高能物理 - 理论 · 物理学 2009-10-31 Mauri Miettinen , Antti J. Niemi , Yuri Stroganov

For a $(2+1)$-dimensional reformulated SU(2) Yang-Mills theory, we compute the interaction potential within the framework of the gauge-invariant but path-dependent variables formalism. This reformulation is due to the presence of a constant…

高能物理 - 理论 · 物理学 2008-11-26 Patricio Gaete , Eduardo Guendelman , Euro Spallucci

We observe a strong correlation between the decrease in the number of action density peaks in SU(2) Yang-Mills configurations with cooling and that of the string tension. The nature and distribution of these peaks is investigated. The…

高能物理 - 格点 · 物理学 2008-11-26 A. Gonzalez-Arroyo , A. Montero

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

高能物理 - 理论 · 物理学 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

We investigate the transverse fluctuations of the confining string connecting two static quarks in (2+1)-d SU(2) Yang-Mills theory using Monte Carlo calculations. The exponentially suppressed signal is extracted from the large noise by a…

高能物理 - 格点 · 物理学 2010-11-11 F. Gliozzi , M. Pepe , U. -J. Wiese

We extend a previous numerical study of SU(3) Yang-Mills theory in which we measured the spatial distribution of all components of the color fields surrounding a static quark-antiquark pair for a wide range of quark-antiquark separations,…

高能物理 - 格点 · 物理学 2020-07-15 M. Baker , P. Cea , V. Chelnokov , L. Cosmai , F. Cuteri , A. Papa

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…

高能物理 - 格点 · 物理学 2025-01-24 Caludio Bonati , Michele Caselle , Alessio Negro , Dario Panfalone , Lorenzo Verzichelli

We present the results of an analysis of a 2+1 dimensional pure SU(N) Yang-Mills theory formulated on a 2-dimensional spatial torus with non-trivial magnetic flux. We focus on investigating the dependence of the electric-flux spectrum,…

高能物理 - 格点 · 物理学 2012-11-19 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Masanori Okawa

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…

高能物理 - 理论 · 物理学 2025-12-17 Andreas Athenodorou , Sergei Dubovsky , Conghuan Luo , Michael Teper

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…

高能物理 - 理论 · 物理学 2017-04-26 Marco Frasca
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