{"paper":{"title":"Analytical relation between quark confinement and chiral symmetry breaking in odd-number lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"hep-lat","authors_text":"Hideo Suganuma (Kyoto U.), Takahiro M. Doi (Kyoto U.), Takumu Iritani (KEK)","submitted_at":"2013-12-21T00:10:02Z","abstract_excerpt":"To clarify the relation between confinement and chiral symmetry breaking in QCD, we consider a temporally odd-number lattice, with the temporal lattice size $N_t$ being odd. We here use an ordinary square lattice with the normal (nontwisted) periodic boundary condition for link-variables in the temporal direction. By considering ${\\rm Tr} (\\hat{U}_4\\hat{\\not D}^{N_t-1})$, we analytically derive a gauge-invariant relation between the Polyakov loop $\\langle L_P \\rangle$ and the Dirac eigenvalues $\\lambda_n$ in QCD, i.e., $\\langle L_P \\rangle \\propto \\sum_n \\lambda_n^{N_t -1} \\langle n|\\hat U_4|n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6178","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}