{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:K7WQ4HEP7POVAPS2IEQEWMEE25","short_pith_number":"pith:K7WQ4HEP","schema_version":"1.0","canonical_sha256":"57ed0e1c8ffbdd503e5a41204b3084d7691763a4ba68ef8488ba189aa989322c","source":{"kind":"arxiv","id":"1202.2458","version":3},"attestation_state":"computed","paper":{"title":"Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"hep-th","authors_text":"K. Sengupta, Sumit R. Das","submitted_at":"2012-02-11T18:30:29Z","abstract_excerpt":"We study the time evolution of the mass gap of the O(N) non-linear sigma model in 2+1 dimensions due to a time-dependent coupling in the large-$N$ limit. Using the Schwinger-Keldysh approach, we derive a set of equations at large $N$ which determine the time dependent gap in terms of the coupling. These equations lead to a criterion for the breakdown of adiabaticity for slow variation of the coupling leading to a Kibble-Zurek scaling law. We describe a self-consistent numerical procedure to solve these large-$N$ equations and provide explicit numerical solutions for a coupling which starts dee"},"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":"1202.2458","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-02-11T18:30:29Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"7b7c97ef0a45779b3938fbe2f29371ae8fd67ac71edafefb11608a56669027ba","abstract_canon_sha256":"5e67cced3d004d8ee3de6ab8ab0ce680ce4103827c8e3d1dc78cdcbf7bf2ef75"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:30.990437Z","signature_b64":"PUN/6UaEyM9CdJsSgke2gneeyPFq1kChLh01xeC9W6bPYESQghScC+6SZmyTrx3sMJjEhlgACZ/mIDboA/1JAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57ed0e1c8ffbdd503e5a41204b3084d7691763a4ba68ef8488ba189aa989322c","last_reissued_at":"2026-05-18T01:58:30.990086Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:30.990086Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-equilibrium Dynamics of O(N) Nonlinear Sigma models: a Large-N approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"hep-th","authors_text":"K. Sengupta, Sumit R. Das","submitted_at":"2012-02-11T18:30:29Z","abstract_excerpt":"We study the time evolution of the mass gap of the O(N) non-linear sigma model in 2+1 dimensions due to a time-dependent coupling in the large-$N$ limit. Using the Schwinger-Keldysh approach, we derive a set of equations at large $N$ which determine the time dependent gap in terms of the coupling. These equations lead to a criterion for the breakdown of adiabaticity for slow variation of the coupling leading to a Kibble-Zurek scaling law. We describe a self-consistent numerical procedure to solve these large-$N$ equations and provide explicit numerical solutions for a coupling which starts dee"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2458","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":"1202.2458","created_at":"2026-05-18T01:58:30.990139+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.2458v3","created_at":"2026-05-18T01:58:30.990139+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2458","created_at":"2026-05-18T01:58:30.990139+00:00"},{"alias_kind":"pith_short_12","alias_value":"K7WQ4HEP7POV","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"K7WQ4HEP7POVAPS2","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"K7WQ4HEP","created_at":"2026-05-18T12:27:11.947152+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/K7WQ4HEP7POVAPS2IEQEWMEE25","json":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25.json","graph_json":"https://pith.science/api/pith-number/K7WQ4HEP7POVAPS2IEQEWMEE25/graph.json","events_json":"https://pith.science/api/pith-number/K7WQ4HEP7POVAPS2IEQEWMEE25/events.json","paper":"https://pith.science/paper/K7WQ4HEP"},"agent_actions":{"view_html":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25","download_json":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25.json","view_paper":"https://pith.science/paper/K7WQ4HEP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.2458&json=true","fetch_graph":"https://pith.science/api/pith-number/K7WQ4HEP7POVAPS2IEQEWMEE25/graph.json","fetch_events":"https://pith.science/api/pith-number/K7WQ4HEP7POVAPS2IEQEWMEE25/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25/action/storage_attestation","attest_author":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25/action/author_attestation","sign_citation":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25/action/citation_signature","submit_replication":"https://pith.science/pith/K7WQ4HEP7POVAPS2IEQEWMEE25/action/replication_record"}},"created_at":"2026-05-18T01:58:30.990139+00:00","updated_at":"2026-05-18T01:58:30.990139+00:00"}