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We discuss QCD with two light flavors at large baryon chemical potential mu. Color superconductivity leads to partial breaking of the color SU(3) group. We show that the infrared physics is governed by the gluodynamics of the remaining…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. H. Rischke , D. T. Son , M. A. Stephanov

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant Abelian-like field strength is defined in terms of a unit-vector in color space…

High Energy Physics - Lattice · Physics 2007-05-23 Tsuneo Suzuki , Katsuya Ishiguro , Yoshifumi Nakamura , Toru Sekido

In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the…

High Energy Physics - Theory · Physics 2009-10-31 Reinhard Oehme

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

We explicitly construct a monopole creation operator: its vacuum expectation value is an order parameter for dual superconductivity, in that, if different from zero, it signals a spontaneous breaking of the $U(1)$ symmetry corresponding to…

High Energy Physics - Lattice · Physics 2009-10-22 L. Del Debbio A. Di Giacomo , G. Paffuti

We construct the creation operator of a vortex for SU(2) pure gauge theory using the methods developed for monopoles. We interpret its vacuum expectation value as a disorder parameter for the deconfinement phase transition and find that it…

High Energy Physics - Lattice · Physics 2009-10-31 L Del Debbio , A Di Giacomo , B Lucini

We present a gauge independent method to construct the effective action of QCD, and calculate the one loop effective action of $SU(2)$ QCD in an arbitrary constant background field. Our result establishes the existence of a dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , D. G. Pak

In this paper we present a QCD motivated model that mimics QCD theory. We examine the characteristics of the gauge field coupled with the color dielectric function ($G$) in the presence of temperature ($T$). The aim is to achieve…

High Energy Physics - Theory · Physics 2019-03-04 Adamu Issifu , Francisco A. Brito

Compact U(1) lattice gauge theory in four dimensions is studied by means of an efficient algorithm which exploits the duality transformation properties of the model. We focus our attention onto the confining regime, considering the…

High Energy Physics - Lattice · Physics 2009-02-07 Marco Panero

New results from lattice are presented,which demonstrate that monopoles condense in the vacuum of confined phase of QCD, which is thus a dual superconductor. Monopoles defined by different abelian projections appear to be physically…

High Energy Physics - Lattice · Physics 2019-08-17 A. Di Giacomo , B. Lucini , L. Montesi , G. Paffuti

Color confinement is one of the central issues in QCD so that there are various interpretations of this feature. In this paper we have adopted the interpretation that colored particles are not subject to observation just because colored…

High Energy Physics - Theory · Physics 2009-11-11 M. Chaichian , K. Nishijima

Nonlinearities imbedded in the Lagrange density for non-Abelian gauge theories produce solutions to the Yang-Mills Maxwell equations that describe spatially extended chromostatic condensates. For solutions in spherically-symmetric SU(2) the…

High Energy Physics - Theory · Physics 2021-03-08 Dennis Sivers

One of the most profound aspects of the standard model of particle physics, the mechanism of confinement binding quarks into hadrons, is not sufficiently understood. The only known semiclassical mechanism of confinement, mediated by…

High Energy Physics - Theory · Physics 2018-11-08 M. Cristina Diamantini , Carlo A. Trugenberger , Valeri M. Vinokur

We investigate the type of dual superconductivity responsible for quark confinement. For this purpose, we solve the field equations of the $U(1)$ gauge-scalar model to obtain the static vortex solution in the whole range without restricting…

High Energy Physics - Lattice · Physics 2020-05-21 Shogo Nishino , Kei-Ichi Kondo , Akihiro Shibata , Takaaki Sasago , Seikou Kato

We use general arguments to show that coloured QCD states when restricted to gauge invariant local observables are mixed. This result has important implications for confinement: a pure colourless state can never evolve into two coloured…

High Energy Physics - Theory · Physics 2015-06-22 A. P. Balachandran , Amilcar de Queiroz , Sachindeo Vaidya

The lectures, delivered at ECT (European Centre for Theoretical Studies in Nuclear Physics and Related Areas) in Trento (Italy) in 2002 and 2003, are addressed to physicists who wish to acquire a minimal background to understand present day…

High Energy Physics - Phenomenology · Physics 2015-06-25 G. Ripka

We address, within the dual superconductivity model for color confinement, the question whether the Yang-Mills vacuum behaves as a superconductor of type I or type II. In order to do that we compare, for the theory with gauge group SU(2),…

High Energy Physics - Lattice · Physics 2008-11-26 A. D'Alessandro , M. D'Elia , L. Tagliacozzo

We give an outline of a recent proof that the low-energy effective gauge theory exhibiting quark confinement due to magnetic monopole condensation can be derived from QCD without any specific assumption. We emphasize that the low-energy…

High Energy Physics - Theory · Physics 2008-11-26 Kei-Ichi Kondo

The global $SU(3)$ color symmetry and its physical consequences are discussed. The N\"{o}ther current is actually governed by the conserved matter current of color charges if the color field generated by this charge is properly polarized.…

High Energy Physics - Phenomenology · Physics 2021-05-26 Ying Chen

If the color Coulomb potential is confining, then the Coulomb field energy of an isolated color charge is infinite on an infinite lattice, even if the usual UV divergence is lattice regulated. A simple criterion for Coulomb confinement is…

High Energy Physics - Lattice · Physics 2013-05-29 J. Greensite
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