{"paper":{"title":"Analytical Formulae of the Polyakov and the Wilson Loops with Dirac Eigenmodes in Lattice QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Hideo Suganuma (Kyoto U.), Kyoto U.), Takahiro M. Doi (Kyoto U.), Takumi Iritani (YITP","submitted_at":"2014-04-25T18:16:53Z","abstract_excerpt":"We derive an analytical gauge-invariant formula between the Polyakov loop $L_P$ and the Dirac eigenvalues $\\lambda_n$ in QCD, i.e., $L_P \\propto \\sum_n \\lambda_n^{N_t -1} \\langle n|\\hat U_4|n \\rangle$, in ordinary periodic square lattice QCD with odd-number temporal size $N_t$. Here, $|n\\rangle$ denotes the Dirac eigenstate, and $\\hat U_4$ temporal link-variable operator. This formula is a Dirac spectral representation of the Polyakov loop in terms of Dirac eigenmodes $|n\\rangle$. Because of the factor $\\lambda_n^{N_t -1}$ in the Dirac spectral sum, this formula indicates negligibly small cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6494","kind":"arxiv","version":2},"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"}