{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:CQNR5PFL74ULULLYJ5QXPORSVV","short_pith_number":"pith:CQNR5PFL","schema_version":"1.0","canonical_sha256":"141b1ebcabff28ba2d784f6177ba32ad4483902414a2754c98932ee38f26966b","source":{"kind":"arxiv","id":"1108.1918","version":2},"attestation_state":"computed","paper":{"title":"Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Dirk H. Rischke, Elina Seel, Francesco Giacosa, Stefan Struber","submitted_at":"2011-08-09T13:05:03Z","abstract_excerpt":"We consider the O(N) linear {\\sigma} model and introduce an auxiliary field to eliminate the scalar self-interaction. Using a suitable limiting process this model can be continuously transformed into the nonlinear version of the O(N) model. We demonstrate that, up to two-loop order in the CJT formalism, the effective potential of the model with auxiliary field is identical to the one of the standard O(N) linear {\\sigma} model, if the auxiliary field is eliminated using the stationary values for the corresponding one- and two-point functions. We numerically compute the chiral condensate and the"},"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":"1108.1918","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-08-09T13:05:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8cf304490d99271341d1183a6ca93a808f01579e09ea17b1d8e0a7172a1afd5c","abstract_canon_sha256":"fba8df69f2644b6222a53d3d61f3e6dce3969dec38f7ee148a98bf581d71ca7a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:53.299996Z","signature_b64":"YDxJjrb3svXKPdpU6C2PeLw5emwkowUhDC0hNdxpPPixHSu2aEyJ/WZIXHDI7eAOSc5yNbHt74aC+u98rRoRDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"141b1ebcabff28ba2d784f6177ba32ad4483902414a2754c98932ee38f26966b","last_reissued_at":"2026-05-18T03:37:53.299163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:53.299163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Study of chiral symmetry restoration in linear and nonlinear O(N) models using the auxiliary field method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Dirk H. Rischke, Elina Seel, Francesco Giacosa, Stefan Struber","submitted_at":"2011-08-09T13:05:03Z","abstract_excerpt":"We consider the O(N) linear {\\sigma} model and introduce an auxiliary field to eliminate the scalar self-interaction. Using a suitable limiting process this model can be continuously transformed into the nonlinear version of the O(N) model. We demonstrate that, up to two-loop order in the CJT formalism, the effective potential of the model with auxiliary field is identical to the one of the standard O(N) linear {\\sigma} model, if the auxiliary field is eliminated using the stationary values for the corresponding one- and two-point functions. We numerically compute the chiral condensate and the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.1918","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":"1108.1918","created_at":"2026-05-18T03:37:53.299258+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.1918v2","created_at":"2026-05-18T03:37:53.299258+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.1918","created_at":"2026-05-18T03:37:53.299258+00:00"},{"alias_kind":"pith_short_12","alias_value":"CQNR5PFL74UL","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"CQNR5PFL74ULULLY","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"CQNR5PFL","created_at":"2026-05-18T12:26:26.731475+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/CQNR5PFL74ULULLYJ5QXPORSVV","json":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV.json","graph_json":"https://pith.science/api/pith-number/CQNR5PFL74ULULLYJ5QXPORSVV/graph.json","events_json":"https://pith.science/api/pith-number/CQNR5PFL74ULULLYJ5QXPORSVV/events.json","paper":"https://pith.science/paper/CQNR5PFL"},"agent_actions":{"view_html":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV","download_json":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV.json","view_paper":"https://pith.science/paper/CQNR5PFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.1918&json=true","fetch_graph":"https://pith.science/api/pith-number/CQNR5PFL74ULULLYJ5QXPORSVV/graph.json","fetch_events":"https://pith.science/api/pith-number/CQNR5PFL74ULULLYJ5QXPORSVV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV/action/storage_attestation","attest_author":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV/action/author_attestation","sign_citation":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV/action/citation_signature","submit_replication":"https://pith.science/pith/CQNR5PFL74ULULLYJ5QXPORSVV/action/replication_record"}},"created_at":"2026-05-18T03:37:53.299258+00:00","updated_at":"2026-05-18T03:37:53.299258+00:00"}