{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:PFVMQTPSQ3RVVL5OE6RJ7P5I4W","short_pith_number":"pith:PFVMQTPS","schema_version":"1.0","canonical_sha256":"796ac84df286e35aafae27a29fbfa8e5a81f6d0b7b8108c59b4266ce8fcf2d5e","source":{"kind":"arxiv","id":"1211.2019","version":1},"attestation_state":"computed","paper":{"title":"The QCD running charge and its RGI three-gluon vertex parent in the Pinch Technique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"John M. Cornwall","submitted_at":"2012-11-09T00:33:45Z","abstract_excerpt":"We give a brief review of an elementary extension of the Pinch Technique (PT) that yields renormalization-group invariant (RGI) Green's functions, called PT-RGI. These are also gauge- and process-independent, show dimensional transmutation, and are the natural ingredients of skeleton expansions of physical processes. Because of a dynamically-generated gluon mass all PT-RGI Green's functions are IR-finite. Next we show from the ghost-free Ward identities of the PT how the conventional running charge is recovered from the full PT-RGI three-gluon vertex, which depends on three momenta. The usual "},"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":"1211.2019","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-11-09T00:33:45Z","cross_cats_sorted":[],"title_canon_sha256":"a1d2a873170af1cc8389adef7c6fadecb9ce34b9c9116f058e7977d833573dd2","abstract_canon_sha256":"f32c2338ff6d502d3e430267249997780387bc15390097efe407735772f4fa67"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:11.951494Z","signature_b64":"xCd/s9pln2WCAigvmxbCIIsxi6MklAKP7YwVfYZw9CB+q1w+q2CaYcs2m4RSnYiDHWrra28a1xhzvgiXUYDyCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"796ac84df286e35aafae27a29fbfa8e5a81f6d0b7b8108c59b4266ce8fcf2d5e","last_reissued_at":"2026-05-18T03:41:11.951136Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:11.951136Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The QCD running charge and its RGI three-gluon vertex parent in the Pinch Technique","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"John M. Cornwall","submitted_at":"2012-11-09T00:33:45Z","abstract_excerpt":"We give a brief review of an elementary extension of the Pinch Technique (PT) that yields renormalization-group invariant (RGI) Green's functions, called PT-RGI. These are also gauge- and process-independent, show dimensional transmutation, and are the natural ingredients of skeleton expansions of physical processes. Because of a dynamically-generated gluon mass all PT-RGI Green's functions are IR-finite. Next we show from the ghost-free Ward identities of the PT how the conventional running charge is recovered from the full PT-RGI three-gluon vertex, which depends on three momenta. The usual "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2019","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":""},"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":"1211.2019","created_at":"2026-05-18T03:41:11.951194+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.2019v1","created_at":"2026-05-18T03:41:11.951194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2019","created_at":"2026-05-18T03:41:11.951194+00:00"},{"alias_kind":"pith_short_12","alias_value":"PFVMQTPSQ3RV","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"PFVMQTPSQ3RVVL5O","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"PFVMQTPS","created_at":"2026-05-18T12:27:18.751474+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/PFVMQTPSQ3RVVL5OE6RJ7P5I4W","json":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W.json","graph_json":"https://pith.science/api/pith-number/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/graph.json","events_json":"https://pith.science/api/pith-number/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/events.json","paper":"https://pith.science/paper/PFVMQTPS"},"agent_actions":{"view_html":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W","download_json":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W.json","view_paper":"https://pith.science/paper/PFVMQTPS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.2019&json=true","fetch_graph":"https://pith.science/api/pith-number/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/graph.json","fetch_events":"https://pith.science/api/pith-number/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/action/storage_attestation","attest_author":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/action/author_attestation","sign_citation":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/action/citation_signature","submit_replication":"https://pith.science/pith/PFVMQTPSQ3RVVL5OE6RJ7P5I4W/action/replication_record"}},"created_at":"2026-05-18T03:41:11.951194+00:00","updated_at":"2026-05-18T03:41:11.951194+00:00"}