{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:47QED3DVF4CRSV3MGDX7MKVRLJ","short_pith_number":"pith:47QED3DV","schema_version":"1.0","canonical_sha256":"e7e041ec752f0519576c30eff62ab15a6d81737418ad4e08072150f2c5589f07","source":{"kind":"arxiv","id":"hep-ph/0701050","version":2},"attestation_state":"computed","paper":{"title":"Large volume behaviour of Yang-Mills propagators","license":"","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Axel Maas, Christian S. Fischer, Jan M. Pawlowski, Lorenz von Smekal","submitted_at":"2007-01-08T19:08:36Z","abstract_excerpt":"We investigate finite volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. In particular, we demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit. This solves an important open problem of previous studies where the infinite volume limit led to an apparent mismatch, especially of the infrared behaviour, between torus extrapolations and the existing infinite volume solutions obtained in 4-dimensional Euclidean space-tim"},"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/0701050","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-01-08T19:08:36Z","cross_cats_sorted":["hep-lat","hep-th"],"title_canon_sha256":"cf536113e5e34573344f580972e020e60ab23f7370e236186ce28130dbced879","abstract_canon_sha256":"167ab4c9664b0f66c574bbf023aa01c4abd549f9a3e5dbce3c3121da73c2275d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:06.961893Z","signature_b64":"O8PmYQQP5hhDpmuJWweBoCgAFnY9kuqI35Rkkfm8JZG/GHu/wmhCwlnIYT9gi9l+c8Sl13UrZgfNvPVffhfzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7e041ec752f0519576c30eff62ab15a6d81737418ad4e08072150f2c5589f07","last_reissued_at":"2026-07-04T15:22:06.961494Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:06.961494Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large volume behaviour of Yang-Mills propagators","license":"","headline":"","cross_cats":["hep-lat","hep-th"],"primary_cat":"hep-ph","authors_text":"Axel Maas, Christian S. Fischer, Jan M. Pawlowski, Lorenz von Smekal","submitted_at":"2007-01-08T19:08:36Z","abstract_excerpt":"We investigate finite volume effects in the propagators of Landau gauge Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. In particular, we demonstrate explicitly how the solutions for the gluon and the ghost propagator tend towards their respective infinite volume forms in the corresponding limit. This solves an important open problem of previous studies where the infinite volume limit led to an apparent mismatch, especially of the infrared behaviour, between torus extrapolations and the existing infinite volume solutions obtained in 4-dimensional Euclidean space-tim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0701050","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/0701050/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/0701050","created_at":"2026-07-04T15:22:06.961556+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0701050v2","created_at":"2026-07-04T15:22:06.961556+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0701050","created_at":"2026-07-04T15:22:06.961556+00:00"},{"alias_kind":"pith_short_12","alias_value":"47QED3DVF4CR","created_at":"2026-07-04T15:22:06.961556+00:00"},{"alias_kind":"pith_short_16","alias_value":"47QED3DVF4CRSV3M","created_at":"2026-07-04T15:22:06.961556+00:00"},{"alias_kind":"pith_short_8","alias_value":"47QED3DV","created_at":"2026-07-04T15:22:06.961556+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/47QED3DVF4CRSV3MGDX7MKVRLJ","json":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ.json","graph_json":"https://pith.science/api/pith-number/47QED3DVF4CRSV3MGDX7MKVRLJ/graph.json","events_json":"https://pith.science/api/pith-number/47QED3DVF4CRSV3MGDX7MKVRLJ/events.json","paper":"https://pith.science/paper/47QED3DV"},"agent_actions":{"view_html":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ","download_json":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ.json","view_paper":"https://pith.science/paper/47QED3DV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0701050&json=true","fetch_graph":"https://pith.science/api/pith-number/47QED3DVF4CRSV3MGDX7MKVRLJ/graph.json","fetch_events":"https://pith.science/api/pith-number/47QED3DVF4CRSV3MGDX7MKVRLJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ/action/storage_attestation","attest_author":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ/action/author_attestation","sign_citation":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ/action/citation_signature","submit_replication":"https://pith.science/pith/47QED3DVF4CRSV3MGDX7MKVRLJ/action/replication_record"}},"created_at":"2026-07-04T15:22:06.961556+00:00","updated_at":"2026-07-04T15:22:06.961556+00:00"}