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- W4302823478 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." @default.
- W4302823478 created "2022-10-07" @default.
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- W4302823478 date "2013-11-19" @default.
- W4302823478 modified "2023-09-28" @default.
- W4302823478 title "A direct relation between confinement and chiral symmetry breaking in temporally odd-number lattice QCD" @default.
- W4302823478 doi "https://doi.org/10.48550/arxiv.1311.4640" @default.
- W4302823478 hasPublicationYear "2013" @default.
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