Non-Abelian dual Meissner effect in SU(3) Yang-Mills theory and confinement/deconfinement phase transition at finite temperature

Abstract

The dual superconductivity is a promising mechanism for quark confinement. We have proposed the non-Abelian dual superconductivity picture for SU(3) Yang-Mills theory, and showed the restricted field dominance (called conventionally Abelian dominance), and non-Abelian magnetic monopole dominance in the string tension. We have further demonstrated by measuring the chromoelectric flux that the non-Abelian dual Meissner effect exists and determined that the dual superconductivity for SU(3) case is of type I, which is in sharp contrast to the SU(2) case: the border of type I and type II. In this talk, we focus on the confinement/deconfinement phase transition and the non-Abelian dual superconductivity at a finite temperature: We measure the Polyakov loop average and correlator and investigate the restricted field dominance in the Polyakov loop. Then, we measure the chromoelectric flux between a pair of static quark and antiquark created by a pair of Polyakov loops, and investigate the non-Abelian dual Meissner effect and its relevance to the phase transition.

Comments: 12 pages, 9 figures, Presented at QCD-TNT-III From quarks and gluons to hadronic matter: A bridge too far ?, 2-6 September, 2013, European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*), Villazzano, Trento (Italy)