{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2005:STQPSQN3I7I5FLLVBYIGTOHQIE","short_pith_number":"pith:STQPSQN3","schema_version":"1.0","canonical_sha256":"94e0f941bb47d1d2ad750e1069b8f041385d1c8e163c51ec3d3a788f25f1d6e4","source":{"kind":"arxiv","id":"hep-ph/0502040","version":2},"attestation_state":"computed","paper":{"title":"Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bogdan Mihaila, Fred Cooper, John F. Dawson","submitted_at":"2005-02-03T17:19:15Z","abstract_excerpt":"We derive the renormalized Schwinger-Dyson equations for the one- and two-point functions in the auxiliary field formulation of $\\lambda \\phi^4$ field theory to order 1/N in the 2PI-1/N expansion. We show that the renormalization of the broken-symmetry theory depends only on the counter terms of the symmetric theory with $\\phi = 0$. We find that the 2PI-1/N expansion violates the Goldstone theorem at order 1/N. In using the O(4) model as a low energy effective field theory of pions to study the time evolution of disoriented chiral condensates one has to {\\em{explicitly}} break the O(4) symmetr"},"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":"hep-ph/0502040","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2005-02-03T17:19:15Z","cross_cats_sorted":[],"title_canon_sha256":"c828ee216f53e8007e815461645230875d7f30a2adbb9f6ebd3d331c8fd5a550","abstract_canon_sha256":"53f29dce10fb77766e308127d7be8fd479aa583e5f7f696fce0ac96d01c98230"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:27.151641Z","signature_b64":"y4JJOA8vz77UfyhJd7D6gYbNnuNv6fRP30ZVjpno4+UbGr1sUESiTAfEAT2My6NcPP/0KJ5zNyEPbNlsM86vBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94e0f941bb47d1d2ad750e1069b8f041385d1c8e163c51ec3d3a788f25f1d6e4","last_reissued_at":"2026-05-18T04:15:27.151246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:27.151246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalized broken-symmetry Schwinger-Dyson equations and the 2PI-1/N expansion for the O(N) model","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Bogdan Mihaila, Fred Cooper, John F. Dawson","submitted_at":"2005-02-03T17:19:15Z","abstract_excerpt":"We derive the renormalized Schwinger-Dyson equations for the one- and two-point functions in the auxiliary field formulation of $\\lambda \\phi^4$ field theory to order 1/N in the 2PI-1/N expansion. We show that the renormalization of the broken-symmetry theory depends only on the counter terms of the symmetric theory with $\\phi = 0$. We find that the 2PI-1/N expansion violates the Goldstone theorem at order 1/N. In using the O(4) model as a low energy effective field theory of pions to study the time evolution of disoriented chiral condensates one has to {\\em{explicitly}} break the O(4) symmetr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0502040","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0502040","created_at":"2026-05-18T04:15:27.151307+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0502040v2","created_at":"2026-05-18T04:15:27.151307+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0502040","created_at":"2026-05-18T04:15:27.151307+00:00"},{"alias_kind":"pith_short_12","alias_value":"STQPSQN3I7I5","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_16","alias_value":"STQPSQN3I7I5FLLV","created_at":"2026-05-18T12:25:53.335082+00:00"},{"alias_kind":"pith_short_8","alias_value":"STQPSQN3","created_at":"2026-05-18T12:25:53.335082+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE","json":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE.json","graph_json":"https://pith.science/api/pith-number/STQPSQN3I7I5FLLVBYIGTOHQIE/graph.json","events_json":"https://pith.science/api/pith-number/STQPSQN3I7I5FLLVBYIGTOHQIE/events.json","paper":"https://pith.science/paper/STQPSQN3"},"agent_actions":{"view_html":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE","download_json":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE.json","view_paper":"https://pith.science/paper/STQPSQN3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0502040&json=true","fetch_graph":"https://pith.science/api/pith-number/STQPSQN3I7I5FLLVBYIGTOHQIE/graph.json","fetch_events":"https://pith.science/api/pith-number/STQPSQN3I7I5FLLVBYIGTOHQIE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE/action/storage_attestation","attest_author":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE/action/author_attestation","sign_citation":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE/action/citation_signature","submit_replication":"https://pith.science/pith/STQPSQN3I7I5FLLVBYIGTOHQIE/action/replication_record"}},"created_at":"2026-05-18T04:15:27.151307+00:00","updated_at":"2026-05-18T04:15:27.151307+00:00"}