{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6IDGVPRXY6OBIJHLBVSSILO5C5","short_pith_number":"pith:6IDGVPRX","schema_version":"1.0","canonical_sha256":"f2066abe37c79c1424eb0d65242ddd174bc5fa30d2cabd5bb2686e98c0659f8b","source":{"kind":"arxiv","id":"1005.2371","version":2},"attestation_state":"computed","paper":{"title":"Hyperscaling relations in mass-deformed conformal gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Luigi Del Debbio, Roman Zwicky","submitted_at":"2010-05-13T16:38:51Z","abstract_excerpt":"We present a number of analytical results which should guide the interpretation of lattice data in theories with an infra-red fixed point (IRFP) deformed by a mass term deltaL = - m \\bar qq. From renormalization group (RG) arguments we obtain the leading scaling exponent, F ~ m^(eta_F), for all decay constants of the lowest lying states other than the ones affected by the chiral anomaly and the tensor ones. These scaling relations provide a clear cut way to distinguish a theory with an IRFP from a confining theory with heavy fermions. Moreover, we present a derivation relating the scaling of <"},"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":"1005.2371","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-05-13T16:38:51Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"eeab3097ef2d8b99cd527a3b37ed96ac76d48469cb389f47923dd2888f58189c","abstract_canon_sha256":"645f98956f1789920bc238ede4fc495371623832f78c67a50bfc50f97eb38830"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:07.419500Z","signature_b64":"eHXAdUtEx6y5+qeZCXJdrwcuDX6RFOq23nuABw63KQ+KMfW68niSKW+oixEDMmLU1CMST338FKWojIOdObuMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f2066abe37c79c1424eb0d65242ddd174bc5fa30d2cabd5bb2686e98c0659f8b","last_reissued_at":"2026-05-18T02:24:07.418748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:07.418748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hyperscaling relations in mass-deformed conformal gauge theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Luigi Del Debbio, Roman Zwicky","submitted_at":"2010-05-13T16:38:51Z","abstract_excerpt":"We present a number of analytical results which should guide the interpretation of lattice data in theories with an infra-red fixed point (IRFP) deformed by a mass term deltaL = - m \\bar qq. From renormalization group (RG) arguments we obtain the leading scaling exponent, F ~ m^(eta_F), for all decay constants of the lowest lying states other than the ones affected by the chiral anomaly and the tensor ones. These scaling relations provide a clear cut way to distinguish a theory with an IRFP from a confining theory with heavy fermions. Moreover, we present a derivation relating the scaling of <"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.2371","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":"1005.2371","created_at":"2026-05-18T02:24:07.418867+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.2371v2","created_at":"2026-05-18T02:24:07.418867+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.2371","created_at":"2026-05-18T02:24:07.418867+00:00"},{"alias_kind":"pith_short_12","alias_value":"6IDGVPRXY6OB","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6IDGVPRXY6OBIJHL","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6IDGVPRX","created_at":"2026-05-18T12:26:04.259169+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2408.00171","citing_title":"SU(2) gauge theory with one and two adjoint fermions towards the continuum limit","ref_index":71,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5","json":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5.json","graph_json":"https://pith.science/api/pith-number/6IDGVPRXY6OBIJHLBVSSILO5C5/graph.json","events_json":"https://pith.science/api/pith-number/6IDGVPRXY6OBIJHLBVSSILO5C5/events.json","paper":"https://pith.science/paper/6IDGVPRX"},"agent_actions":{"view_html":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5","download_json":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5.json","view_paper":"https://pith.science/paper/6IDGVPRX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.2371&json=true","fetch_graph":"https://pith.science/api/pith-number/6IDGVPRXY6OBIJHLBVSSILO5C5/graph.json","fetch_events":"https://pith.science/api/pith-number/6IDGVPRXY6OBIJHLBVSSILO5C5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5/action/storage_attestation","attest_author":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5/action/author_attestation","sign_citation":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5/action/citation_signature","submit_replication":"https://pith.science/pith/6IDGVPRXY6OBIJHLBVSSILO5C5/action/replication_record"}},"created_at":"2026-05-18T02:24:07.418867+00:00","updated_at":"2026-05-18T02:24:07.418867+00:00"}