Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory

Abstract

The mechanism of confinement in Yang-Mills theories remains a challenge to our understanding of nonperturbative gauge dynamics. While it is widely perceived that confinement may arise from chromo-magnetically charged gauge configurations with nontrivial topology, it is not clear what types of configurations could do that and how, in pure Yang-Mills and QCD-like (non-supersymmetric) theories. Recently a promising approach has emerged, based on statistical ensembles of dyons/anti-dyons that are constituents of instanton/anti-instanton solutions with nontrivial holonomy where the holonomy plays a vital role as an effective "Higgsing" mechanism. We report a thorough numerical investigation of the confinement dynamics in SU(2) Yang-Mills theory by constructing such a statistical ensemble of correlated instanton-dyons.

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Cited by in corpus (11)

• The Myriad Uses of Instantons
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Electrodynamics of dual superconducting chiral medium
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Comments on "Three regimes of QCD" by L.Glozman
• Dyon in the $SU(2)$ Yang--Mills theory with a gauge-invariant gluon mass toward quark confinement
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD
• Fractional topological charges and the lowest Dirac modes