Dyons and Roberge - Weiss transition in lattice QCD

Abstract

We study lattice QCD with $N_f=2$ Wilson fermions at nonzero imaginary chemical potential and nonzero temperature. We relate the Roberge - Weiss phase transition to the properties of dyons which are constituents of the KvBLL calorons. We present numerical evidence that the characteristic features of the spectral gap of the overlap Dirac operator as function of an angle modifying the boundary condition are determined by the $Z_3$ sector of the respective imaginary chemical potential. We then demonstrate that dyon excitations in thermal configurations could be responsible (in line with perturbative excitations) for these phenomena.

10 pages, 5 figures, Contribution to XIIth Quark Confinement and the Hadron Spectrum

References in corpus (9)

• The chiral phase transition in two-flavor QCD from imaginary chemical potential
• Confining ensemble of dyons
• An SU(2) KvBLL caloron gas model and confinement
• Calorons and dyons at the thermal phase transition analyzed by overlap fermions
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• The dyonic picture of topological objects in the deconfined phase
• Topology near the transition temperature in lattice gluodynamics analyzed by low lying modes of the overlap Dirac operator
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential

Cited by in corpus (6)

• The topological objects near the chiral crossover transition in QCD
• Towards a semi-classical description of QCD vacuum around $T_c$
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• The Equation of State and Multiparticle Production