QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons

Abstract

Topological phenomena in gauge theories have long been recognized as the driving force for chiral symmetry breaking and confinement. These phenomena can be conveniently investigated in the semi-classical picture, in which the topological charge is entirely carried by (anti-)self-dual gauge configurations. In such an approach, it has been shown that near the critical temperature, the non-zero expectation value of the Polyakov loop (holonomy) triggers the "Higgsing" of the color group, generating the splitting of instantons into $N_c$ self-dual dyons. A number of lattice simulations have provided some evidence for such dyons, and traced their relation with specific observables, such as the Dirac eigenvalue spectrum. In this work, we formulate a model, based on one-loop partition function and including Coulomb interaction, screening and fermion zee modes. We then perform the first numerical Monte Carlo simulations of a statistical ensemble of self-dual dyons,as a function of their density, quark mass and the number of flavors. We study different dyonic two-point correlation functions and we compute the Dirac spectrum, as a function of the ensemble diluteness and the number of quark flavors.

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References in corpus (5)

• The dyonic picture of topological objects in the deconfined phase
• Calorons and monopoles from smeared SU(2) lattice fields at non-zero temperature
• Exploring the Chiral Regime of QCD in the Interacting Instanton Liquid Model
• Effects of the low lying Dirac modes on excited hadrons in lattice QCD
• Instantons, Chiral Dynamics and Hadronic Resonances

Cited by in corpus (5)

• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Hadronic Correlation Functions in the Random Instanton-dyon Ensemble
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory