{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:SRR37P2EBHPA5S4TBE6SZLMKUV","short_pith_number":"pith:SRR37P2E","schema_version":"1.0","canonical_sha256":"9463bfbf4409de0ecb93093d2cad8aa547f24443e2957d8f126c8fe49d482517","source":{"kind":"arxiv","id":"2404.02734","version":1},"attestation_state":"computed","paper":{"title":"Renormalization of Scalar and Fermion Interacting Field Theory for Arbitrary Loop: Heat-Kernel Approach","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-ex","hep-ph"],"primary_cat":"hep-th","authors_text":"Joydeep Chakrabortty, Kaanapuli Ramkumar, Upalaparna Banerjee","submitted_at":"2024-04-03T13:34:36Z","abstract_excerpt":"We outline a proposal, based on the Heat-Kernel method, to compute 1PI effective action up to any loop order for quantum field theory with scalar and fermion fields. We algebraically extract the divergences associated with the composite operators without explicitly performing any momentum loop integral. We perform this analysis explicitly for one and two-loop cases and pave the way for three-loop as well. Using our prescription we compute the two-loop counter terms for a theory containing higher mass dimensional effective operators that are polynomial in fields for two different cases: (i) rea"},"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":"2404.02734","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-03T13:34:36Z","cross_cats_sorted":["hep-ex","hep-ph"],"title_canon_sha256":"a6c22d50a4afe118214c10db48ce76ef36ecaa567594d716b445fb2e1333d09e","abstract_canon_sha256":"9dd03a27411f7594b3cc1c6fa25e64e83409ef189170d208ca15053809bb7d87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:04:00.533262Z","signature_b64":"zdNhHyPbX6/+0iiYGtMFJOQ27A/I64pDwKRSvpl0XCnUBpI6YzsuNrrXfJVw7mRcAjeBUw8juTa/3ggAy6UdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9463bfbf4409de0ecb93093d2cad8aa547f24443e2957d8f126c8fe49d482517","last_reissued_at":"2026-07-05T08:04:00.532877Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:04:00.532877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of Scalar and Fermion Interacting Field Theory for Arbitrary Loop: Heat-Kernel Approach","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["hep-ex","hep-ph"],"primary_cat":"hep-th","authors_text":"Joydeep Chakrabortty, Kaanapuli Ramkumar, Upalaparna Banerjee","submitted_at":"2024-04-03T13:34:36Z","abstract_excerpt":"We outline a proposal, based on the Heat-Kernel method, to compute 1PI effective action up to any loop order for quantum field theory with scalar and fermion fields. We algebraically extract the divergences associated with the composite operators without explicitly performing any momentum loop integral. We perform this analysis explicitly for one and two-loop cases and pave the way for three-loop as well. Using our prescription we compute the two-loop counter terms for a theory containing higher mass dimensional effective operators that are polynomial in fields for two different cases: (i) rea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.02734","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.02734/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":"2404.02734","created_at":"2026-07-05T08:04:00.532932+00:00"},{"alias_kind":"arxiv_version","alias_value":"2404.02734v1","created_at":"2026-07-05T08:04:00.532932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.02734","created_at":"2026-07-05T08:04:00.532932+00:00"},{"alias_kind":"pith_short_12","alias_value":"SRR37P2EBHPA","created_at":"2026-07-05T08:04:00.532932+00:00"},{"alias_kind":"pith_short_16","alias_value":"SRR37P2EBHPA5S4T","created_at":"2026-07-05T08:04:00.532932+00:00"},{"alias_kind":"pith_short_8","alias_value":"SRR37P2E","created_at":"2026-07-05T08:04:00.532932+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2511.23410","citing_title":"The Art of Counting: a reappraisal of the HEFT expansion","ref_index":137,"is_internal_anchor":false},{"citing_arxiv_id":"2604.05972","citing_title":"Background Fields Meet the Heat Kernel: Gauge Invariance and RGEs without diagrams","ref_index":40,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV","json":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV.json","graph_json":"https://pith.science/api/pith-number/SRR37P2EBHPA5S4TBE6SZLMKUV/graph.json","events_json":"https://pith.science/api/pith-number/SRR37P2EBHPA5S4TBE6SZLMKUV/events.json","paper":"https://pith.science/paper/SRR37P2E"},"agent_actions":{"view_html":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV","download_json":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV.json","view_paper":"https://pith.science/paper/SRR37P2E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2404.02734&json=true","fetch_graph":"https://pith.science/api/pith-number/SRR37P2EBHPA5S4TBE6SZLMKUV/graph.json","fetch_events":"https://pith.science/api/pith-number/SRR37P2EBHPA5S4TBE6SZLMKUV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV/action/storage_attestation","attest_author":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV/action/author_attestation","sign_citation":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV/action/citation_signature","submit_replication":"https://pith.science/pith/SRR37P2EBHPA5S4TBE6SZLMKUV/action/replication_record"}},"created_at":"2026-07-05T08:04:00.532932+00:00","updated_at":"2026-07-05T08:04:00.532932+00:00"}