{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:NJU4DFAJBJK623DMFYIBGWC7UP","short_pith_number":"pith:NJU4DFAJ","schema_version":"1.0","canonical_sha256":"6a69c194090a55ed6c6c2e1013585fa3e51eda56c5714555b0c09358a09e614b","source":{"kind":"arxiv","id":"cond-mat/9304049","version":1},"attestation_state":"computed","paper":{"title":"A Renormalization Group Study of Helimagnets in D=2+EPSILON Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"B. Delamotte, F. Delduc, P. Azaria, Th. Jolicoeur","submitted_at":"1993-04-30T17:35:00Z","abstract_excerpt":"We study a non linear sigma model $O(N)\\otimes O(2)/O(N-2)\\otimes O(2)$ describing the phase transition of N-components helimagnets up to two loop order in $D=2+\\epsilon$ dimensions. It is shown that a stable fixed point exists as soon as $N$ is greater than 3 (or equal). In the N=3 case, the symmetry of the system is dynamically enlarged at the fixed point to O(4) We show that the order parameter for Heisenberg helimagnets involves a tensor representation of $O(4)$. We show that for large $N$ and in the neighborhood of two dimensions this nonlinear sigma model describes the same critical theo"},"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":"cond-mat/9304049","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1993-04-30T17:35:00Z","cross_cats_sorted":[],"title_canon_sha256":"8e2dc816442a783928af907b25ab622279b297cc035c7ae3c0431812e4ca8c39","abstract_canon_sha256":"2e359ec5f94d8e92cb712aab0a0331a58a87e644282f443ffc43b76a1c37dda3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:24:05.106758Z","signature_b64":"yKhwUxVkUESg3z34PE7VO0XqqybGFfE8eWlmgZQFBusyIJV5e6J2+F1alwRl1gD14pyVGmMjU8O/BQ+CFvfwBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a69c194090a55ed6c6c2e1013585fa3e51eda56c5714555b0c09358a09e614b","last_reissued_at":"2026-07-04T17:24:05.106388Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:24:05.106388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Renormalization Group Study of Helimagnets in D=2+EPSILON Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"B. Delamotte, F. Delduc, P. Azaria, Th. Jolicoeur","submitted_at":"1993-04-30T17:35:00Z","abstract_excerpt":"We study a non linear sigma model $O(N)\\otimes O(2)/O(N-2)\\otimes O(2)$ describing the phase transition of N-components helimagnets up to two loop order in $D=2+\\epsilon$ dimensions. It is shown that a stable fixed point exists as soon as $N$ is greater than 3 (or equal). In the N=3 case, the symmetry of the system is dynamically enlarged at the fixed point to O(4) We show that the order parameter for Heisenberg helimagnets involves a tensor representation of $O(4)$. We show that for large $N$ and in the neighborhood of two dimensions this nonlinear sigma model describes the same critical theo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9304049","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/9304049/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"cond-mat/9304049","created_at":"2026-07-04T17:24:05.106452+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9304049v1","created_at":"2026-07-04T17:24:05.106452+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9304049","created_at":"2026-07-04T17:24:05.106452+00:00"},{"alias_kind":"pith_short_12","alias_value":"NJU4DFAJBJK6","created_at":"2026-07-04T17:24:05.106452+00:00"},{"alias_kind":"pith_short_16","alias_value":"NJU4DFAJBJK623DM","created_at":"2026-07-04T17:24:05.106452+00:00"},{"alias_kind":"pith_short_8","alias_value":"NJU4DFAJ","created_at":"2026-07-04T17:24:05.106452+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/NJU4DFAJBJK623DMFYIBGWC7UP","json":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP.json","graph_json":"https://pith.science/api/pith-number/NJU4DFAJBJK623DMFYIBGWC7UP/graph.json","events_json":"https://pith.science/api/pith-number/NJU4DFAJBJK623DMFYIBGWC7UP/events.json","paper":"https://pith.science/paper/NJU4DFAJ"},"agent_actions":{"view_html":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP","download_json":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP.json","view_paper":"https://pith.science/paper/NJU4DFAJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9304049&json=true","fetch_graph":"https://pith.science/api/pith-number/NJU4DFAJBJK623DMFYIBGWC7UP/graph.json","fetch_events":"https://pith.science/api/pith-number/NJU4DFAJBJK623DMFYIBGWC7UP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP/action/storage_attestation","attest_author":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP/action/author_attestation","sign_citation":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP/action/citation_signature","submit_replication":"https://pith.science/pith/NJU4DFAJBJK623DMFYIBGWC7UP/action/replication_record"}},"created_at":"2026-07-04T17:24:05.106452+00:00","updated_at":"2026-07-04T17:24:05.106452+00:00"}