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It is found\n  that the gauge boson mass $m_{a"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1009.1025","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-09-06T11:08:52Z","cross_cats_sorted":[],"title_canon_sha256":"62caa1dd5ddb1e9217f6e3e9831cc8de8a2d36b1730e484fc40a438d3c5fccfd","abstract_canon_sha256":"803d9937d835e70b13dce277fdd60d50e6bf4d9956baa0c716ea05be23fe02c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:58.981804Z","signature_b64":"YG8wsFY9tdF+wxKftfj5oU0BnSu23atJKU0JI0mBEK0F0eHI+C7LVSTXaUBEwSj/ux4qBll2BYQC3wm6vo4sDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a82507ee8dea1c2b1cf30758edca6c930090e98f49b7b9d99d086bfa042c3a37","last_reissued_at":"2026-05-18T04:36:58.981248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:58.981248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of gauge boson mass on the phase structure of QED$_{3}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Hong-shi Zong, Hong-Tao Feng, Jian-Feng Li, Wei-Min Sun, Yu-Qing Zhou","submitted_at":"2010-09-06T11:08:52Z","abstract_excerpt":"Dynamical chiral symmetry breaking (DCSB) in QED$_{3}$ with finite gauge boson mass is\n  studied in the framework of the rainbow approximation of Dyson-Schwinger equations.\n  By adopting a simple gauge boson propagator ansatz at finite temperature, we first numerically solve the\n  Dyson-Schwinger equation for the fermion self-energy to\n  determine the chiral phase diagram of QED$_3$ with finite gauge boson mass\n  at finite chemical potential and finite temperature, then we study the\n  effect of the finite gauge mass on the phase diagram of QED$_3$. 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