2012/10/30 by Takumi Iritani, Iritani, Takumi, Shinya Gongyo +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.1210.7914
7 pages, 4 figures, talk given at 30th International Symposium on Lattice Field Theory Lattice 2012, Cairns, Australia, June 24-29, 2012
arxiv created 2012/10/30 · arxiv updated 2012/10/31
To clarify the relation between chiral symmetry breaking and color confinement, we investigate the Polyakov loop in terms of the Dirac eigenmodes in SU(3) lattice QCD. We analyze the low-lying (IR) and UV Dirac-mode contribution to the Polyakov loop, respectively, using the Dirac-mode expansion method. In the confined phase, the Polyakov loop < LP > remains almost zero and Z3 center symmetry is thus unbroken, even after removing low-lying Dirac-modes, which are responsible to chiral symmetry breaking. In the confined phase, the Polyakov loop < LP > also remains almost zero by UV Dirac-modes cut. In addition to the confined phase, we analyze the Polyakov loop in the deconfined phase and its temperature dependence. The behavior of the Polyakov loop < LP > is found to be almost unchanged by the cut of low-lying or UV Dirac-modes in both confined and deconfined phases.