$Z_3$ Twisted Chiral Condensates in QCD at Finite Temperatures

Abstract

It was recently observed in a lattice QCD measurement that the chiral condensate in the quenched approximation shows dramatically different behavior in the three $Z_3$-equivalent de-confined phases. We argue that this phenomenon can be understood qualitatively as an effect of $Z_3$ twists on fermionic fields. Quarks under these $Z_3$-twists become global anyons and hence display different thermodynamic properties. We further show that the lattice data can be roughly modeled by a Nambu-Jona-Lasinio type Lagrangian with a minimal coupling to a constant gauge field $A_0=2\pi nT/3$ (with $n=0$, $\pm 1$), which arises naturally from the non-trivial phase of the Polyakov line.

10 Pages including 2 figures, Latex{ReVTex} source file. Figures included seperately as figures.uu

References in corpus (3)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Quark Gluon Plasma from Numerical Simulations of Lattice QCD

Cited by in corpus (11)

• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• New findings for topological excitations in SU(3) lattice gauge theory
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• A comprehensive picture of topological excitations in finite temperature lattice QCD
• Anderson localization through Polyakov loops: lattice evidence and Random matrix model
• Chiral symmetry restoration and the Z3 sectors of QCD
• Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model
• Calorons and localization of quark eigenvectors in lattice QCD
• Ideal topological gas in the high temperature phase of SU(3) gauge theory
• Gluon Dynamics, Center Symmetry and the deconfinement phase transition in SU(3) pure Yang-Mills theory
• Gapless Dirac Spectrum at High Temperature