Interacting Ensemble of the Instanton-dyons and Deconfinement Phase Transition in the SU(2) Gauge Theory

Abstract

Instanton-dyons, also known as instanton-monopoles or instanton-quarks, are topological constituents of the instantons at nonzero temperature and holonomy. We perform numerical simulations of the ensemble of interacting dyons for the SU(2) pure gauge theory. Unlike previous studies, we focus on back reaction on the holonomy and the issue of confinement. We calculate the free energy as a function of the holonomy and the dyon densities, using standard Metropolis Monte Carlo and integration over parameter methods. We observe that as the temperature decreases and the dyon density grows, its minimum indeed moves from small holonomy to the value corresponding to confinement. We then report various parameters of the self-consistent ensembles as a function of temperature, and investigate the role of inter-particle correlations.

11 Pages, 13 Figures

References in corpus (6)

• Confining Dyon-Anti-Dyon Coulomb Liquid Model I
• An SU(2) KvBLL caloron gas model and confinement
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Cautionary remarks on the moduli space metric for multi-dyon simulations
• Classes of confining gauge field configurations
• Confining Effective Theories Based on Instantons and Merons

Cited by in corpus (28)

• 50 Years of Quantum Chromodynamics
• Polyakov loop modeling for hot QCD
• New Methods in QFT and QCD: From Large-N Orbifold Equivalence to Bions and Resurgence
• Instanton-dyon Ensemble with two Dynamical Quarks: the Chiral Symmetry Breaking
• Dyons near the transition temperature in lattice QCD
• The topological objects near the chiral crossover transition in QCD
• Oblique Confinement at $\theta \ne 0$ in weakly coupled gauge theories with deformations
• Towards a semi-classical description of QCD vacuum around $T_c$
• Are there monopoles in the quark-gluon plasma?
• Confinement, Holonomy and Correlated Instanton-Dyon Ensemble I: SU(2) Yang-Mills Theory
• Instanton-dyon Ensembles III: Exotic Quark Flavors
• Confinement in non-Abelian lattice gauge theory via persistent homology
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Deconfinement Phase Transition in the $SU(3)$ Instanton-dyon Ensemble
• Spin Physics through QCD Instantons
• A practical method in calculating one loop quantum fluctuations to the energy of the non-topological soliton
• Magnetically Charged Calorons with Non-Trivial Holonomy
• Hadronic Correlation Functions in the Random Instanton-dyon Ensemble
• Numerical evidence for fractional topological objects in SU(3) gauge theory
• Confinement from Correlated Instanton-Dyon Ensemble in SU(2) Yang-Mills Theory
• Recent progress in understanding deconfinement and chiral restoration phase transitions
• Correlating confinement to topological fluctuations near the crossover transition in QCD
• Dyons near the transition temperature in $SU(3)$ lattice gluodynamics
• Emergent Kink Statistics at Finite Temperature
• Density and correlations of topological objects near the transition temperature in lattice gluodynamics
• Vacuum and thermal fluctuation energies of a soliton at finite temperatures
• Calorons, monopoles and stable, charged solitons
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD