{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:XI2Y4Z5SQA7CTZJEZBBSPO5WOU","short_pith_number":"pith:XI2Y4Z5S","schema_version":"1.0","canonical_sha256":"ba358e67b2803e29e524c84327bbb67533d37b463c4ad797584d844cc8f651a9","source":{"kind":"arxiv","id":"1504.08113","version":3},"attestation_state":"computed","paper":{"title":"$\\mu$-Symmetry breaking: an algebraic approach to finding mean fields of quantum many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Masahito Ueda, Sho Higashikawa","submitted_at":"2015-04-30T08:23:52Z","abstract_excerpt":"One of the most fundamental problems in quantum many-body systems is the identification of a mean field in spontaneous symmetry breaking which is usually made in a heuristic manner. We propose a systematic method of finding a mean field based on the Lie algebra and the dynamical symmetry by introducing a class of symmetry broken phases which we call $\\mu$-symmetry breaking. We show that for $\\mu$-symmetry breaking the quadratic part of an effective Lagrangian of Nambu-Goldstone modes can be block-diagonalized and that homotopy groups of topological excitations can be calculated systematically."},"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":"1504.08113","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-04-30T08:23:52Z","cross_cats_sorted":[],"title_canon_sha256":"bb75a437e46a9993fe7e1d4d3784ef541fe78d8844e1cd4fbd96f2c29c9430d7","abstract_canon_sha256":"bb98a94fcb66092e53ee8f59a35e12f2d5d83c6938e4e51d52edb136ab174f1f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:40.122137Z","signature_b64":"IQCQk1bJ9L0HUye+SIhA6oaO3gywzzC6SXqLaSU2tTYnlpI9zpuXBFB7tKgwPa2AQscSLWPFHt744WlNWf2wAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba358e67b2803e29e524c84327bbb67533d37b463c4ad797584d844cc8f651a9","last_reissued_at":"2026-05-18T01:10:40.121648Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:40.121648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$\\mu$-Symmetry breaking: an algebraic approach to finding mean fields of quantum many-body systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.quant-gas","authors_text":"Masahito Ueda, Sho Higashikawa","submitted_at":"2015-04-30T08:23:52Z","abstract_excerpt":"One of the most fundamental problems in quantum many-body systems is the identification of a mean field in spontaneous symmetry breaking which is usually made in a heuristic manner. We propose a systematic method of finding a mean field based on the Lie algebra and the dynamical symmetry by introducing a class of symmetry broken phases which we call $\\mu$-symmetry breaking. We show that for $\\mu$-symmetry breaking the quadratic part of an effective Lagrangian of Nambu-Goldstone modes can be block-diagonalized and that homotopy groups of topological excitations can be calculated systematically."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.08113","kind":"arxiv","version":3},"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":"1504.08113","created_at":"2026-05-18T01:10:40.121716+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.08113v3","created_at":"2026-05-18T01:10:40.121716+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.08113","created_at":"2026-05-18T01:10:40.121716+00:00"},{"alias_kind":"pith_short_12","alias_value":"XI2Y4Z5SQA7C","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"XI2Y4Z5SQA7CTZJE","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"XI2Y4Z5S","created_at":"2026-05-18T12:29:50.041715+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/XI2Y4Z5SQA7CTZJEZBBSPO5WOU","json":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU.json","graph_json":"https://pith.science/api/pith-number/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/graph.json","events_json":"https://pith.science/api/pith-number/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/events.json","paper":"https://pith.science/paper/XI2Y4Z5S"},"agent_actions":{"view_html":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU","download_json":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU.json","view_paper":"https://pith.science/paper/XI2Y4Z5S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.08113&json=true","fetch_graph":"https://pith.science/api/pith-number/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/graph.json","fetch_events":"https://pith.science/api/pith-number/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/action/storage_attestation","attest_author":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/action/author_attestation","sign_citation":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/action/citation_signature","submit_replication":"https://pith.science/pith/XI2Y4Z5SQA7CTZJEZBBSPO5WOU/action/replication_record"}},"created_at":"2026-05-18T01:10:40.121716+00:00","updated_at":"2026-05-18T01:10:40.121716+00:00"}