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

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

2001-06-25

arxiv.org/abs/hep-lat/0106018v2

Phys.Rev. D64 (2001) 117502

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.64.117502

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.

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