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High Energy Physics - Lattice

arXiv:1311.4640 (hep-lat)
[Submitted on 19 Nov 2013]

Title:A direct relation between confinement and chiral symmetry breaking in temporally odd-number lattice QCD

Authors:Takahiro M. Doi (Kyoto U), Hideo Suganuma (Kyoto U), Takumi Iritani (KEK)
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Abstract:In the lattice QCD formalism, we derive a gauge-invariant analytical relation connecting the Polyakov loop and the Dirac modes on a temporally odd-number lattice, where the temporal lattice size is odd, with the normal (nontwisted) periodic boundary condition. This analytical relation indicates that low-lying Dirac modes have little contribution to the Polyakov loop. Using lattice QCD simulations, we numerically confirm the analytical relation and the negligible contribution of low-lying Dirac modes to the Polyakov loop at the quenched level, i.e., the Polyakov loop is almost unchanged by removing low-lying Dirac-mode contribution from the QCD vacuum generated by lattice QCD in both confinement and deconfinement phases. Thus, we conclude that there is no one-to-one correspondence between confinement and chiral symmetry breaking in QCD. As a new method, modifying the Kogut-Susskind formalism, we develop a method for spin-diagonalizing the Dirac operator on the temporally odd-number lattice.
Comments: 7 pages, proceeding of Lattice 2013
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1311.4640 [hep-lat]
  (or arXiv:1311.4640v1 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.1311.4640
Journal reference: PoS (LATTICE2013) 375

Submission history

From: Takahiro Doi M [view email]
[v1] Tue, 19 Nov 2013 07:55:22 UTC (8 KB)
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