{"paper":{"title":"Correlated Dirac Eigenvalues and Axial Anomaly in Chiral Symmetric QCD","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph","hep-th","nucl-th"],"primary_cat":"hep-lat","authors_text":"Akio Tomiya, Heng-Tong Ding, Sheng-Tai Li, Swagato Mukherjee, Xiao-Dan Wang, Yu Zhang","submitted_at":"2021-12-01T12:59:05Z","abstract_excerpt":"We investigate the Dirac eigenvalue spectrum ($\\rho(\\lambda,m_l)$) to study the microscopic origin of axial anomaly in high temperature phase of QCD. We propose novel relations between the derivatives ($\\partial^n \\rho(\\lambda,m_l)/\\partial m_l^n$) of the Dirac eigenvalue spectrum with respect to the quark mass ($m_l$) and the $(n+1)$-point correlations among the eigenvalues ($\\lambda$) of the massless Dirac operator. Based on these relations, we present lattice QCD results for $\\partial^n \\rho(\\lambda,m_l)/\\partial m_l^n$ ($n=1, 2, 3$) with $m_l$ corresponding to pion masses $m_\\pi=160-55$ Me"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.00465","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2112.00465/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}