Dirac spectrum representation of Polyakov loop fluctuations in lattice QCD
Abstract
Dirac spectrum representations of the Polyakov loop fluctuations are derived on the temporally odd-number lattice, where the temporal length is odd with the periodic boundary condition. We investigate the Polyakov loop fluctuations based on these analytical relations. It is semianalytically and numerically found that the low-lying Dirac eigenmodes have little contribution to the Polyakov loop fluctuations, which are sensitive probe for the quark deconfinement. Our results suggest no direct one-to-one corresponding between quark confinement and chiral symmetry breaking in QCD.
Cite
@article{arxiv.1511.02039,
title = {Dirac spectrum representation of Polyakov loop fluctuations in lattice QCD},
author = {Takahiro M. Doi and Krzysztof Redlich and Chihiro Sasaki and Hideo Suganuma},
journal= {arXiv preprint arXiv:1511.02039},
year = {2015}
}
Comments
7 pages and 1 figure. Proceeding of the 33rd International Symposium on Lattice Field Theory (Lattice 2015), 14-18 July 2015, Kobe International Conference Center, Kobe, Japan. Also regarded as the Proceeding of the 4th International Conference on new Frontiers in Physics (ICNFP 2015), 23-30 August 2015, Conference Center of the Orthodox Academy of Crete, Crete, Greece