English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In the lattice QCD formalism, we derive a gauge-invariant an alytical 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 b oundary condition. This analytical relation indicates that low-lying Dirac modes have little con tribution to the Polyakov loop. Using lattice QCD simulations, we numerically confirm the analyti cal relation and the negligible contribution of low-lying Dirac modes to the Polyakov loop at th e quenched level, i.e., the Polyakov loop is almost unchanged by removing low-lying Dirac-mode c ontribution from the QCD vacuum generated by lattice QCD in both confinement and deconfinemen t phases. Thus, we conclude that there is no one-to-one correspondence between confinement a nd chiral symmetry breaking in QCD. As a new method, modifying the Kogut-Susskind formalis m, we develop a method for spin-diagonalizing the Dirac operator on the temporally od d-number lattice.

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