説明
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 $< L_P >$ remains almost zero and $Z_3$ 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 $< L_P >$ 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 $< L_P >$ is found to be almost unchanged by the cut of low-lying or UV Dirac-modes in both confined and deconfined phases.
7 pages, 4 figures, talk given at 30th International Symposium on Lattice Field Theory Lattice 2012, Cairns, Australia, June 24-29, 2012
収録刊行物
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- Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012)
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Proceedings of The 30th International Symposium on Lattice Field Theory — PoS(Lattice 2012) 218-, 2012-12-20
Sissa Medialab