{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:YKEL6AVLNDK2ZTORZQ2ITOW2DC","short_pith_number":"pith:YKEL6AVL","schema_version":"1.0","canonical_sha256":"c288bf02ab68d5accdd1cc3489bada1885d298c7bea3937017646f7bf81dfe7c","source":{"kind":"arxiv","id":"1001.3103","version":2},"attestation_state":"computed","paper":{"title":"More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. Dudal, N. Vandersickel, S.P. Sorella","submitted_at":"2010-01-18T16:56:04Z","abstract_excerpt":"In this paper we provide strong evidence that there is no ambiguity in the choice of the horizon function underlying the Gribov-Zwanziger action. We show that there is only one correct possibility which is determined by the requirement of multiplicative renormalizability. As a consequence, this means that relations derived from other horizon functions cannot be given a consistent interpretation in terms of a local and renormalizable quantum field theory.  In addition, we also discuss that the Kugo-Ojima functions $u(p^2)$ and $w(p^2)$ can only be defined after renormalization of the underlying"},"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":"1001.3103","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-18T16:56:04Z","cross_cats_sorted":[],"title_canon_sha256":"07d46c4b40406a3e5858cd3cac07c7065b9fe153364773b9fc4dfff95515d58b","abstract_canon_sha256":"af9aca691b13670cea369b5c4ef3105a60e0842c18b22bc3d8116d9f56ead0cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:49.595774Z","signature_b64":"bavwlnycd7DD1HnM3QVa6O7QSeeWmliza/n5giNxe86XeYoYjqiDwPt99xeIgZBKYcf7keFNlbZxE/+lxmHTCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c288bf02ab68d5accdd1cc3489bada1885d298c7bea3937017646f7bf81dfe7c","last_reissued_at":"2026-05-18T02:33:49.595192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:49.595192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"More on the renormalization of the horizon function of the Gribov-Zwanziger action and the Kugo-Ojima Green function(s)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. Dudal, N. Vandersickel, S.P. Sorella","submitted_at":"2010-01-18T16:56:04Z","abstract_excerpt":"In this paper we provide strong evidence that there is no ambiguity in the choice of the horizon function underlying the Gribov-Zwanziger action. We show that there is only one correct possibility which is determined by the requirement of multiplicative renormalizability. As a consequence, this means that relations derived from other horizon functions cannot be given a consistent interpretation in terms of a local and renormalizable quantum field theory.  In addition, we also discuss that the Kugo-Ojima functions $u(p^2)$ and $w(p^2)$ can only be defined after renormalization of the underlying"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3103","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":""},"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":"1001.3103","created_at":"2026-05-18T02:33:49.595286+00:00"},{"alias_kind":"arxiv_version","alias_value":"1001.3103v2","created_at":"2026-05-18T02:33:49.595286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3103","created_at":"2026-05-18T02:33:49.595286+00:00"},{"alias_kind":"pith_short_12","alias_value":"YKEL6AVLNDK2","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"YKEL6AVLNDK2ZTOR","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"YKEL6AVL","created_at":"2026-05-18T12:26:17.028572+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/YKEL6AVLNDK2ZTORZQ2ITOW2DC","json":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC.json","graph_json":"https://pith.science/api/pith-number/YKEL6AVLNDK2ZTORZQ2ITOW2DC/graph.json","events_json":"https://pith.science/api/pith-number/YKEL6AVLNDK2ZTORZQ2ITOW2DC/events.json","paper":"https://pith.science/paper/YKEL6AVL"},"agent_actions":{"view_html":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC","download_json":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC.json","view_paper":"https://pith.science/paper/YKEL6AVL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1001.3103&json=true","fetch_graph":"https://pith.science/api/pith-number/YKEL6AVLNDK2ZTORZQ2ITOW2DC/graph.json","fetch_events":"https://pith.science/api/pith-number/YKEL6AVLNDK2ZTORZQ2ITOW2DC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC/action/storage_attestation","attest_author":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC/action/author_attestation","sign_citation":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC/action/citation_signature","submit_replication":"https://pith.science/pith/YKEL6AVLNDK2ZTORZQ2ITOW2DC/action/replication_record"}},"created_at":"2026-05-18T02:33:49.595286+00:00","updated_at":"2026-05-18T02:33:49.595286+00:00"}