{"paper":{"title":"Can Theta/N Dependence for Gluodynamics be Compatible with 2 pi Periodicity in Theta ?","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Ariel Zhitnitsky (Univ. of British Columbia), Igor Halperin","submitted_at":"1997-11-20T03:17:36Z","abstract_excerpt":"In a number of field theoretical models the vacuum angle \\theta enters physics in the combination \\theta/N, where N stands generically for the number of colors or flavors, in an apparent contradiction with the expected 2 \\pi periodicity in \\theta. We argue that a resolution of this puzzle is related to the existence of a number of different \\theta dependent sectors in a finite volume formulation, which can not be seen in the naive thermodynamic limit V -> \\infty. It is shown that, when the limit V -> \\infty is properly defined, physics is always 2 \\pi periodic in \\theta for any integer, and ev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9711398","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"}