{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XWY2XBGYIGOY4CMTPILVTCIS42","short_pith_number":"pith:XWY2XBGY","schema_version":"1.0","canonical_sha256":"bdb1ab84d8419d8e09937a17598912e6860db3c13fee52685585d8b94b7ba137","source":{"kind":"arxiv","id":"1105.4932","version":1},"attestation_state":"computed","paper":{"title":"Auxiliary field approach to dilute Bose gases with tunable interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Bogdan Mihaila, Chih-Chun Chien, Eddy Timmermans, Fred Cooper, John F. Dawson","submitted_at":"2011-05-25T04:46:36Z","abstract_excerpt":"We rewrite the Lagrangian for a dilute Bose gas in terms of auxiliary fields related to the normal and anomalous condensate densities. We derive the loop expansion of the effective action in the composite-field propagators. The lowest-order auxiliary field (LOAF) theory is a conserving mean-field approximation consistent with the Goldstone theorem without some of the difficulties plaguing approximations such as the Hartree and Popov approximations. LOAF predicts a second-order phase transition. We give a set of Feynman rules for improving results to any order in the loop expansion in terms of "},"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":"1105.4932","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-05-25T04:46:36Z","cross_cats_sorted":[],"title_canon_sha256":"2b0b238a20f61d9fdc95ad9300e515f0210bae86ef8d598f9f18b24a43846780","abstract_canon_sha256":"dea7d851f8283711d4ef9ef30b0eadc191da338c777fb0fbaee537d8dbc6e07a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:49.789157Z","signature_b64":"vmfk/IPwbQlc/W1hYkc0T9XQsaEO+y0agY9qNXjGmJaLbqxKhiNhEM4BRobgiEUAXcfsLPFhL66EB0M7/CFcCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdb1ab84d8419d8e09937a17598912e6860db3c13fee52685585d8b94b7ba137","last_reissued_at":"2026-05-18T02:21:49.788501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:49.788501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Auxiliary field approach to dilute Bose gases with tunable interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Bogdan Mihaila, Chih-Chun Chien, Eddy Timmermans, Fred Cooper, John F. Dawson","submitted_at":"2011-05-25T04:46:36Z","abstract_excerpt":"We rewrite the Lagrangian for a dilute Bose gas in terms of auxiliary fields related to the normal and anomalous condensate densities. We derive the loop expansion of the effective action in the composite-field propagators. The lowest-order auxiliary field (LOAF) theory is a conserving mean-field approximation consistent with the Goldstone theorem without some of the difficulties plaguing approximations such as the Hartree and Popov approximations. LOAF predicts a second-order phase transition. We give a set of Feynman rules for improving results to any order in the loop expansion in terms of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4932","kind":"arxiv","version":1},"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":"1105.4932","created_at":"2026-05-18T02:21:49.788599+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.4932v1","created_at":"2026-05-18T02:21:49.788599+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4932","created_at":"2026-05-18T02:21:49.788599+00:00"},{"alias_kind":"pith_short_12","alias_value":"XWY2XBGYIGOY","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_16","alias_value":"XWY2XBGYIGOY4CMT","created_at":"2026-05-18T12:26:47.523578+00:00"},{"alias_kind":"pith_short_8","alias_value":"XWY2XBGY","created_at":"2026-05-18T12:26:47.523578+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/XWY2XBGYIGOY4CMTPILVTCIS42","json":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42.json","graph_json":"https://pith.science/api/pith-number/XWY2XBGYIGOY4CMTPILVTCIS42/graph.json","events_json":"https://pith.science/api/pith-number/XWY2XBGYIGOY4CMTPILVTCIS42/events.json","paper":"https://pith.science/paper/XWY2XBGY"},"agent_actions":{"view_html":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42","download_json":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42.json","view_paper":"https://pith.science/paper/XWY2XBGY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.4932&json=true","fetch_graph":"https://pith.science/api/pith-number/XWY2XBGYIGOY4CMTPILVTCIS42/graph.json","fetch_events":"https://pith.science/api/pith-number/XWY2XBGYIGOY4CMTPILVTCIS42/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42/action/storage_attestation","attest_author":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42/action/author_attestation","sign_citation":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42/action/citation_signature","submit_replication":"https://pith.science/pith/XWY2XBGYIGOY4CMTPILVTCIS42/action/replication_record"}},"created_at":"2026-05-18T02:21:49.788599+00:00","updated_at":"2026-05-18T02:21:49.788599+00:00"}