{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1995:VH3Z26NW6BHCCGCEA4TLZNYLX3","short_pith_number":"pith:VH3Z26NW","schema_version":"1.0","canonical_sha256":"a9f79d79b6f04e2118440726bcb70bbeec682211d9794d259bd577bb90cfc8a6","source":{"kind":"arxiv","id":"hep-ph/9509320","version":2},"attestation_state":"computed","paper":{"title":"Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"I.A. Shovkovy, V.A. Miransky, V.P. Gusynin","submitted_at":"1995-09-18T16:09:03Z","abstract_excerpt":"It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction $D\\to D-2$ in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu--Jona--Lasinio (NJL) model and QED. In the NJL model in a magnetic field, the low--energy effective action and the spectrum of long wavelength collective excitations are derived. In QED (in ladd"},"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":"hep-ph/9509320","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-09-18T16:09:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"58bca8c9b23e08d09d9384672c5ab4cbc5172966ec4b7e9931c9595f5a9d6b86","abstract_canon_sha256":"90bf55964f10b23c04a6f609ff4bf4d7004ff602ae8dd81469de166a95d52243"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:13.696515Z","signature_b64":"c6xERw/HvIdJBH3IFWkm7weQQuKa0P82LC3v+sR3aALb5KapQDfJqVNodDyICZNlVH/EIMAVVH4xSJ2uSB9+DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9f79d79b6f04e2118440726bcb70bbeec682211d9794d259bd577bb90cfc8a6","last_reissued_at":"2026-07-04T15:59:13.696121Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:13.696121Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"I.A. Shovkovy, V.A. Miransky, V.P. Gusynin","submitted_at":"1995-09-18T16:09:03Z","abstract_excerpt":"It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical mass even at the weakest attractive interaction between fermions. The essence of this effect is the dimensional reduction $D\\to D-2$ in the dynamics of fermion pairing in a magnetic field. The effect is illustrated in the Nambu--Jona--Lasinio (NJL) model and QED. In the NJL model in a magnetic field, the low--energy effective action and the spectrum of long wavelength collective excitations are derived. In QED (in ladd"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9509320","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9509320/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":"hep-ph/9509320","created_at":"2026-07-04T15:59:13.696179+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9509320v2","created_at":"2026-07-04T15:59:13.696179+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9509320","created_at":"2026-07-04T15:59:13.696179+00:00"},{"alias_kind":"pith_short_12","alias_value":"VH3Z26NW6BHC","created_at":"2026-07-04T15:59:13.696179+00:00"},{"alias_kind":"pith_short_16","alias_value":"VH3Z26NW6BHCCGCE","created_at":"2026-07-04T15:59:13.696179+00:00"},{"alias_kind":"pith_short_8","alias_value":"VH3Z26NW","created_at":"2026-07-04T15:59:13.696179+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.31697","citing_title":"Hadronic exceptional points","ref_index":108,"is_internal_anchor":true},{"citing_arxiv_id":"1907.03990","citing_title":"Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model","ref_index":13,"is_internal_anchor":true},{"citing_arxiv_id":"2604.24595","citing_title":"Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization","ref_index":19,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15897","citing_title":"Delineating neutral and charged mesons in magnetic fields","ref_index":25,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3","json":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3.json","graph_json":"https://pith.science/api/pith-number/VH3Z26NW6BHCCGCEA4TLZNYLX3/graph.json","events_json":"https://pith.science/api/pith-number/VH3Z26NW6BHCCGCEA4TLZNYLX3/events.json","paper":"https://pith.science/paper/VH3Z26NW"},"agent_actions":{"view_html":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3","download_json":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3.json","view_paper":"https://pith.science/paper/VH3Z26NW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9509320&json=true","fetch_graph":"https://pith.science/api/pith-number/VH3Z26NW6BHCCGCEA4TLZNYLX3/graph.json","fetch_events":"https://pith.science/api/pith-number/VH3Z26NW6BHCCGCEA4TLZNYLX3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3/action/storage_attestation","attest_author":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3/action/author_attestation","sign_citation":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3/action/citation_signature","submit_replication":"https://pith.science/pith/VH3Z26NW6BHCCGCEA4TLZNYLX3/action/replication_record"}},"created_at":"2026-07-04T15:59:13.696179+00:00","updated_at":"2026-07-04T15:59:13.696179+00:00"}