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By studying multidimensional Kaluza-Klein theories, or gravity plus U(1) or SU(2) gauge fields it is shown that these theories possess similar flux tube solutions. The gauge field which fills the tube geometry of these solutions leads to a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Dzhunushaliev , U. Kasper , D. Singleton

We present recent results on the spectrum of a confining flux tube that is closed around a spatial torus as a function of its length as well as the spectrum of glueballs. The extraction of the spectra has been realized by simulating four…

High Energy Physics - Theory · Physics 2022-05-10 Andreas Athenodorou

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This is because we can define gauge-invariant…

High Energy Physics - Lattice · Physics 2010-01-21 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Takeharu Murakami

Lattice studies of the infrared regime of gauge theories are complicated by the required extensive limits, the performed gauge fixing and the demand for high statistics. Using a general power counting scheme for the infrared limit of Landau…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Kai Schwenzer

Ensembles of magnetic defects represent quantum variables that have been detected and extensively explored in lattice ${\rm SU}(N)$ pure Yang-Mills theory. They successfully explain many properties of confinement and are strongly believed…

High Energy Physics - Theory · Physics 2018-08-29 L. E. Oxman

We present a systematic study of baryonic flux tubes in SU(3) Yang-Mills theory in (2+1) dimensions. A recent next-to-leading-order derivation within the Effective String Theory framework has, for the first time, made explicit the…

High Energy Physics - Lattice · Physics 2025-11-04 Michele Caselle , Nicodemo Magnoli , Dario Panfalone , Lorenzo Verzichelli

The U(N) gauge theory on a D-dimensional lattice is reformulated as a theory of lattice strings (a statistical model of random surfaces). The Boltzmann weights of the surfaces can have both signs and are tuned so that the longitudinal modes…

High Energy Physics - Theory · Physics 2008-02-03 I. K. Kostov

This is a pedagogical introduction to the physics of confinement on $R^3 \times S^1$, using $SU(2)$ Yang-Mills with massive or massless adjoint fermions as the prime example; at the end, we also add fundamental flavours. The small-$S^1$…

High Energy Physics - Theory · Physics 2024-09-16 Erich Poppitz

In this work, we analyze a large class of effective Yang-Mills-Higgs models constructed in terms of adjoint scalars. In particular, we reproduce asymptotic properties of the confining string, suggested by lattice simulations of $SU(N)$ pure…

High Energy Physics - Theory · Physics 2024-06-05 David R. Junior , Luis E. Oxman , Gustavo M. Simões

It has been shown that the mechanism of formation of glue-bags in the strong coupling limit of Yang-Mills theory can be understood in terms of the dynamics of a higher-rank abelian gauge field, namely, the 3-form dual to the Chern-Simons…

High Energy Physics - Theory · Physics 2015-04-23 Antonio Aurilia , Patricio Gaete , Euro Spallucci

Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures on an asymmetric lattice. For vanishing value of the spatial gauge coupling one obtains an effective two-dimensional spin…

High Energy Physics - Lattice · Physics 2011-02-14 Oleg Borisenko , Mario Gravina , Alessandro Papa

We derive an U(1) effective theory of color confinement by applying the so-called Julia-Toulouse Approach for defects condensation to the SU(2) restricted gauge theory defined by means of the Cho decomposition of the non-abelian connection.…

High Energy Physics - Theory · Physics 2011-06-27 L. S. Grigorio , M. S. Guimaraes , W. Oliveira , R. Rougemont , C. Wotzasek

$\mathcal{N}=1$ $SU(N)$ super-Yang-Mills theory on $\mathbb{R}^3\times S^1$ is believed to have a smooth dependence on the circle size $L$. Making $L$ small leads to calculable non-perturbative color confinement, mass gap, and string…

High Energy Physics - Theory · Physics 2016-12-14 Aleksey Cherman , Erich Poppitz

We calculate the energy spectrum of closed strings in SU(N) gauge theories with N=2,3,4,6,8 in 2+1 dimensions to a high accuracy. We attempt to control all systematic errors, and this allows us to perform a precise comparison with different…

High Energy Physics - Lattice · Physics 2009-09-29 Barak Bringoltz , Michael Teper

We explore an alternative discretization of continuum SU(N_c) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer. In this discretization the self-interactions of the gauge field are induced…

High Energy Physics - Lattice · Physics 2016-12-21 Bastian B. Brandt , Robert Lohmayer , Tilo Wettig

The large N limit of SU(N) gauge theories in 3+1 dimensions is investigated on the lattice by extrapolating results obtained for $2 \le N \le 5$. A numerical determination of the masses of the lowest-lying glueball states and of the…

High Energy Physics - Lattice · Physics 2015-06-25 B. Lucini , M. Teper

Recently, gauge field theory approaches were extensively used in order to discuss the physical consequences of spin-orbit interactions in condensed matter physics. An SU(2)$\times$U(1) gauge theory is very naturally borne out and provides…

Other Condensed Matter · Physics 2014-09-23 Bertrand Berche , Ernesto Medina

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 study the vacuum structure and dyon spectrum of N=2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical properties which can nonetheless be described…

High Energy Physics - Theory · Physics 2010-04-07 N. Seiberg , E. Witten

An effective theory based on ensembles of either regular gauge instantons or merons is shown to produce confinement in SU(2) Yang-Mills theory. When the scale is set by the string tension, the action density, topological susceptibility and…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Lenz , J. W. Negele , M. Thies
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