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We review some universal features of the colour flux tube of gauge theories in the confining phase predicted by the infrared conformal limit of the underlying string theory. In particular we discuss shape effects in Wilson loops and…

High Energy Physics - Lattice · Physics 2007-05-23 F. Gliozzi

This article reports on the detailed study of the three-gluon vertex in four-dimensional $SU(3)$ Yang-Mills theory employing lattice simulations with large physical volumes and high statistics. A meticulous scrutiny of the so-called…

High Energy Physics - Lattice · Physics 2017-07-25 Ph. Boucaud , F. De Soto , J. Rodríguez-Quintero , S. Zafeiropoulos

A random vortex world-surface model for the infrared sector of SU(4) Yang-Mills theory is constructed, focusing on the confinement properties and the behavior at the deconfinement phase transition. Although the corresponding data from…

High Energy Physics - Lattice · Physics 2009-11-11 Michael Engelhardt

An SU(2) gauge theory is broken to U(1) by an adjoint scalar to produce magnetic monopoles. At a lower scale, this U(1) is further broken by a fundamental scalar to produce tubes of magnetic flux. We dualize the resulting theory to write an…

High Energy Physics - Theory · Physics 2010-04-15 Chandrasekhar Chatterjee , Amitabha Lahiri

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 $l_s$.…

High Energy Physics - Lattice · Physics 2025-05-16 Georg Bergner , Antonio González-Arroyo , Ivan Soler

We calculate the energy spectrum of a k=2 flux tube that is closed around a spatial torus, as a function of its length l. We do so for SU(4) and SU(5) gauge theories in 2 space dimensions. We find that to a very good approximation the…

High Energy Physics - Lattice · Physics 2009-05-12 Andreas Athenodorou , Barak Bringoltz , Michael Teper

We consider the phase transition in the "hot" dual long-distances Yang-Mills theory at finite temperature $T$. This phase transition is associated with a change of symmetry. The dual model is formulated in terms of two-point Wightman…

High Energy Physics - Phenomenology · Physics 2010-05-27 G. A. Kozlov , G. Khoriauli

The tube solutions in Yang - Mills - Higgs theory are received, in which the Higgs field has the negative energy density. This solutions make up the discrete spectrum numered by two integer and have the finite linear energy density.…

High Energy Physics - Theory · Physics 2007-05-23 Vladimir Dzhunushaliev , Alexej Fomin

By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations. Recently, center vortices have been shown to…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

We study the Z_N flux tubes and monopole confinement in deformed N=2* super Yang-Mills theories. In order to do that we consider an N=4 super Yang-Mills theory with an arbitrary gauge group G and add some N=2, N=1 and N=0 deformation terms.…

High Energy Physics - Theory · Physics 2009-11-10 Marco A. C. Kneipp

We construct, in an SU(2) gauge theory with two adjoint scalars, flux strings with monopoles attached at the ends. One scalar breaks SU(2) to U(1) and produces monopoles, the other then breaks the U(1) and produces strings. Dualizing, we…

High Energy Physics - Theory · Physics 2009-09-29 Chandrasekhar Chatterjee , Amitabha Lahiri

Using matrix product states, we explore numerically the phenomenology of string breaking in a non-Abelian lattice gauge theory, namely 1+1 dimensional SU(2). The technique allows us to study the static potential between external heavy…

High Energy Physics - Lattice · Physics 2015-09-04 Stefan Kühn , Erez Zohar , J. Ignacio Cirac , Mari Carmen Bañuls

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

We propose a reformulation of SU(2) Yang-Mills theory in terms of new variables. These variables are appropriate for describing the theory in its infrared limit, and indicate that it admits knotlike configurations as stable solitons. As a…

High Energy Physics - Theory · Physics 2009-10-31 Ludvig Faddeev , Antti J. Niemi

SU(2) Yang-Mills theory at finite extension or, equivalently, at finite temperature is probed by a homogeneous chromomagnetic field. We use a recent modified axial gauge formulation which has the novel feature of respecting the center…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. L. Eletsky , A. C. Kalloniatis , F. Lenz , M. Thies

We study the effective bosonic string that describes confining flux tubes in three-dimensional SU(N) Yang--Mills theories. Although the low-energy properties are universal and well described by the Nambu--Got\=o action, the subtle…

High Energy Physics - Lattice · Physics 2024-12-20 Michele Caselle , Nicodemo Magnoli , Alessandro Nada , Marco Panero , Dario Panfalone , Lorenzo Verzichelli

We examine the possibility of dynamical supersymmetry breaking in two-dimensional $\mathcal{N} = (2, 2)$ supersymmetric Yang-Mills theory. The theory is discretized on a Euclidean spacetime lattice using a supersymmetric lattice action. We…

High Energy Physics - Lattice · Physics 2018-03-14 Simon Catterall , Raghav G. Jha , Anosh Joseph

Numerical results for relative weights of test gauge-field configurations in the vacuum of the SU(2) lattice gauge theory in (3+1) dimensions are compared with expectations following from various proposals for the Yang-Mills vacuum wave…

High Energy Physics - Lattice · Physics 2014-02-13 Jeff Greensite , Stefan Olejnik

We compute the spectra of flux tubes formed between a static quark antiquark pair up to a significant number of excitations and for eight symmetries of the flux tubes, up to $\Delta_u$, using pure $SU(3)$ gauge lattice QCD in 3+1…

High Energy Physics - Lattice · Physics 2023-06-21 Alireza Sharifian , Nuno Cardoso , Pedro Bicudo

It is argued that there are strong similarities between the infra-red physics of N=2 supersymmetric Yang-Mills and that of the quantum Hall effect, both systems exhibit a hierarchy of vacua with a sub-group of the modular group mapping…

High Energy Physics - Theory · Physics 2009-11-11 Brian P. Dolan
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