Quenched divergences in the deconfined phase of SU(2) gauge theory

Abstract

The spectrum of the overlap Dirac operator in the deconfined phase of quenched gauge theory is known to have three parts: exact zeros arising from topology, small nonzero eigenvalues that result in a non-zero chiral condensate, and the dense bulk of the spectrum, which is separated from the small eigenvalues by a gap. In this paper, we focus on the small nonzero eigenvalues in an SU(2) gauge field background at $\beta =2.4$ and $N_T=4$. This low-lying spectrum is computed on four different spatial lattices ($12^3$, $14^3$, $16^3$, and $18^3$). As the volume increases, the small eigenvalues become increasingly concentrated near zero in such a way as to strongly suggest that the infinite volume condensate diverges.

12 pages, 3 figures, version to appear in Physical Review D

References in corpus (3)

• Quark number susceptibilities, strangeness and dynamical confinement
• Short distance current correlators: Comparing lattice simulations to the instanton liquid
• Quenched Finite Volume Logarithms

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• Phases of SU(3) Gauge Theories with Fundamental Quarks via Dirac Spectral Density
• Quenched QCD at finite temperature with chiral Fermions
• Finite-temperature chiral condensate and low-lying Dirac eigenvalues in quenched SU(2) lattice gauge theory
• Quenched and Unquenched Chiral Perturbation Theory in the ε-Regime
• The Chiral Separation Effect in quenched finite-density QCD