{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PQM2CH4RJ6QRAJLUHZA4GFBOMV","short_pith_number":"pith:PQM2CH4R","schema_version":"1.0","canonical_sha256":"7c19a11f914fa11025743e41c3142e656f42006b2f628fcab71773843be2cc07","source":{"kind":"arxiv","id":"1608.05662","version":3},"attestation_state":"computed","paper":{"title":"Nonperturbative quantization \\`a la Heisenberg for non-Abelian gauge theories: two-equation approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Vladimir Dzhunushaliev","submitted_at":"2016-08-18T14:10:09Z","abstract_excerpt":"The nonperturbative quantization technique \\`{a} la Heisenberg is applied for non-Abelian gauge theories. The operator Yang-Mills equation is written, which on the corresponding averaging gives an infinite set of equations for all Green functions. We split all degrees of freedom into two groups: in the former, we have $A^a_\\mu \\in \\mathcal G \\subset SU(N)$, and in the second group we have coset degrees of freedom $SU(N) / \\mathcal G$. Using such splitting and some assumptions about 2- and 4-point Green functions, we truncate the infinite set of equations to two equations. The first equation is"},"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":"1608.05662","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-08-18T14:10:09Z","cross_cats_sorted":[],"title_canon_sha256":"0e6f8cbba6d3c981f184dcb9d24c13748b4f419c5c1f10a49e27ca8e43df686c","abstract_canon_sha256":"a6e6b2b39e7d0505f57658ce7475f9c9e90ace7de78e3bb48c32c4f20b0f1612"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:26.327025Z","signature_b64":"lisdzwC3sjL1C3yl3oGwo1qifcxVTmjVFZtzTIuFYixY2t+dEHHOS9/fK84nWEY2SaI0jq63T2YeY111vUKIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c19a11f914fa11025743e41c3142e656f42006b2f628fcab71773843be2cc07","last_reissued_at":"2026-05-18T00:46:26.326559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:26.326559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonperturbative quantization \\`a la Heisenberg for non-Abelian gauge theories: two-equation approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Vladimir Dzhunushaliev","submitted_at":"2016-08-18T14:10:09Z","abstract_excerpt":"The nonperturbative quantization technique \\`{a} la Heisenberg is applied for non-Abelian gauge theories. The operator Yang-Mills equation is written, which on the corresponding averaging gives an infinite set of equations for all Green functions. We split all degrees of freedom into two groups: in the former, we have $A^a_\\mu \\in \\mathcal G \\subset SU(N)$, and in the second group we have coset degrees of freedom $SU(N) / \\mathcal G$. Using such splitting and some assumptions about 2- and 4-point Green functions, we truncate the infinite set of equations to two equations. The first equation is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05662","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":"1608.05662","created_at":"2026-05-18T00:46:26.326631+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.05662v3","created_at":"2026-05-18T00:46:26.326631+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05662","created_at":"2026-05-18T00:46:26.326631+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQM2CH4RJ6QR","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQM2CH4RJ6QRAJLU","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQM2CH4R","created_at":"2026-05-18T12:30:39.010887+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/PQM2CH4RJ6QRAJLUHZA4GFBOMV","json":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV.json","graph_json":"https://pith.science/api/pith-number/PQM2CH4RJ6QRAJLUHZA4GFBOMV/graph.json","events_json":"https://pith.science/api/pith-number/PQM2CH4RJ6QRAJLUHZA4GFBOMV/events.json","paper":"https://pith.science/paper/PQM2CH4R"},"agent_actions":{"view_html":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV","download_json":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV.json","view_paper":"https://pith.science/paper/PQM2CH4R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.05662&json=true","fetch_graph":"https://pith.science/api/pith-number/PQM2CH4RJ6QRAJLUHZA4GFBOMV/graph.json","fetch_events":"https://pith.science/api/pith-number/PQM2CH4RJ6QRAJLUHZA4GFBOMV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV/action/storage_attestation","attest_author":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV/action/author_attestation","sign_citation":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV/action/citation_signature","submit_replication":"https://pith.science/pith/PQM2CH4RJ6QRAJLUHZA4GFBOMV/action/replication_record"}},"created_at":"2026-05-18T00:46:26.326631+00:00","updated_at":"2026-05-18T00:46:26.326631+00:00"}