The Instanton-Dyon Liquid Model V: Twisted Light Quarks

Abstract

We discuss an extension of the instanton-dyon liquid model that includes twisted light quarks in the fundamental representation with explicit $Z_{N_c}$ symmetry for the case with equal number of colors $N_c$ and flavors $N_f$. We map the model on a 3-dimensional quantum effective theory, and analyze it in the mean-field approximation. The effective potential and the vacuum chiral condensates are made explicit for $N_f=N_c=2,3$. The low temperature phase is center symmetric but breaks spontaneously flavor symmetry with $N_f-1$ massless pions. The high temperature phase breaks center symmetry but supports finite and unequal quark condensates.

12 pages, 2 figures

References in corpus (11)

• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Magnetic bion condensation: A new mechanism of confinement and mass gap in four dimensions
• Confining ensemble of dyons
• Chiral Lagrangian from Duality and Monopole Operators in Compactified QCD
• Phase Transitions, theta Behavior and Instantons in QCD and its Holographic Model
• QCD Topology at Finite Temperature: Statistical Mechanics of Selfdual Dyons
• Confinement and deconfinement for any gauge group from dyons viewpoint
• Dyon structures in the deconfinement phase of lattice gluodynamics: topological clusters, holonomies and Abelian monopoles
• The Instanton-Dyon Liquid Model III: Finite Chemical Potential
• Light Adjoint Quarks in the Instanton-Dyon Liquid Model IV
• Instanton-dyon Ensembles III: Exotic Quark Flavors

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• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• D-instantons in Real Time Dynamics
• Hadronic Correlation Functions in the Random Instanton-dyon Ensemble
• Roberge-Weiss transitions at different center symmetry breaking patterns in a ${\mathbb{Z}}_3$-QCD model
• Holographic spectroscopy of fermion with instantons
• Nonanalyticity, sign problem and Polyakov line in Z3-symmetric heavy quark model at low temperature: Phenomenological model analyses
• Chiral Symmetry Breaking and Confinement from an Interacting Ensemble of Instanton-dyons in Two-flavor Massless QCD