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Related papers: Confinement with Kalb - Ramond Fields

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Compact U(1) gauge theory in 3+1 dimensions possesses the confining phase, characterized by a linear raise of the potential between particles with opposite electric charges at sufficiently large inter-particle separation. The confinement is…

High Energy Physics - Lattice · Physics 2022-06-29 M. N. Chernodub , V. A. Goy , A. V. Molochkov , A. S. Tanashkin

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…

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

We study a non-Abelian gauge theory with a pseudo scalar coupling \phi \epsilon ^{\mu \nu \alpha \beta} F_{\mu \nu}^a F_{\alpha \beta}^a in the case where a constant chromo-electric, or chromo-magnetic, strength expectation value is…

High Energy Physics - Theory · Physics 2009-11-11 Patricio Gaete , Euro Spallucci

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

We examine the restoration of the residual gauge symmetry in the Yang-Mills theory to be regarded as a confinement criterion. For this purpose we restrict the four-dimensional $SU(2)$ Yang-Mills instantons to those with spatial spherical…

High Energy Physics - Theory · Physics 2025-10-30 Naoki Fukushima , Kei-Ichi Kondo

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…

High Energy Physics - Lattice · Physics 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach to Yang--Mills theory. Compactifying one spatial dimension and using a background gauge fixing this potential is obtained by…

High Energy Physics - Theory · Physics 2013-01-14 Hugo Reinhardt , Jan Heffner

Phases of SU(N) gauge theories in which the global Z(N) symmetry breaks spontaneously to a subgroup Z(L) can be realized by adding appropriate Wilson line terms to the gauge action. These phases are partially confining, in the sense that…

High Energy Physics - Lattice · Physics 2008-11-26 Michael C. Ogilvie , Peter N. Meisinger , Joyce C. Myers

In axial gauge, the (2+1)-dimensional SU($N$) Yang-Mills theory is equivalent to a set of (1+1)-dimensional integrable models with a non-local coupling between charge densities. This fact makes it possible to determine the static potential…

High Energy Physics - Theory · Physics 2008-11-26 Peter Orland

It has long argued that confinement in non-Abelian gauge theories, such as QCD, can be account for by analogy with typed II superconductivity. In this paper, we show that it is possible to arrive at an effective dual Abelian-Higgs model,…

High Energy Physics - Theory · Physics 2007-05-23 Duoje Jia

We show the construction of the dual superconducting theory for the confinement mechanism from QCD in the maximally abelian (MA) gauge using the lattice QCD Monte Carlo simulation. We find that essence of infrared abelian dominance is…

High Energy Physics - Lattice · Physics 2016-05-23 H. Suganuma , K. Amemiya , A. Tanaka , H. Ichie

Absolute confinement of its color charges is a natural property of gauge theories such as quantum chromodynamics. On the one hand, it can be attributed to the existence of color-magnetic monopoles, a topological feature of the theory, but…

High Energy Physics - Theory · Physics 2007-05-23 Gerard 't Hooft

Based on our exact effective spin model, the zero temperature $SU(N)$ gauge field confinement has been studied by the deconfinement-confinement phase transition order parameter, i.e. the Wilson line, rather than the quark antiquark…

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

The random vortex world-surface model is extended to the gauge groups SU(4) and Sp(2). Compared to the SU(2) and SU(3) models studied previously, which reproduce the infrared properties of the corresponding Yang-Mills theories on the basis…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

High Energy Physics - Lattice · Physics 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

The vacuum dynamics of SU(2) and SU(3) lattice gauge theories is studied by means of a gauge-invariant effective action defined using the lattice Schr\"odinger functional at finite temperature. In the case of the SU(3) gauge theory…

High Energy Physics - Lattice · Physics 2007-05-23 P. Cea , L. Cosmai

We investigate the relationship between colour confinement and the gauge independent Cho-Duan-Ge Abelian decomposition. The decomposition is defined in terms of a colour field $n$; the principle novelty of our study is that we have defined…

High Energy Physics - Lattice · Physics 2015-06-24 Nigel Cundy , Y. M. Cho , Weonjong Lee

The strong interaction between quarks inside hadrons in curved spacetime is investigated in the presence of a new non-abelian gauge potential based on the $SU(3)$ group. This potential presented both chromo-electric and chromo-magnetic…

High Energy Physics - Phenomenology · Physics 2025-08-08 Abdellah Touati , Soufiane Boukhalfa

We construct simple qubit-regularized Hamiltonian lattice gauge theories formulated in the monomer--dimer--tensor-network (MDTN) basis that are free of sign problems in the pure gauge sector. These models naturally realize both confined and…

High Energy Physics - Lattice · Physics 2026-02-27 Shailesh Chandrasekharan

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance…

High Energy Physics - Lattice · Physics 2015-06-12 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara
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