{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:5H6AWBEJFWATZPPMWTZCWXO734","short_pith_number":"pith:5H6AWBEJ","schema_version":"1.0","canonical_sha256":"e9fc0b04892d813cbdecb4f22b5ddfdf07137f585211e4b91f22ae447934b184","source":{"kind":"arxiv","id":"math-ph/0412026","version":2},"attestation_state":"computed","paper":{"title":"Mass Renormalization in Non-relativistic Quantum Electrodynamics with Spin 1/2","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"F. Hiroshima, K. R. Ito","submitted_at":"2004-12-09T09:00:06Z","abstract_excerpt":"The effective mass $\\mass$ of the the Pauli-Fierz Hamiltonain with ultraviolet cutoff $\\Lambda$ and the bare mass $m$ in nonrelativistic QED with spin 1/2 is investigated. Analytic properties of $\\mass$ in coupling constant $e$ are shown and explicit forms of constants $a_1(\\Lambda/m)$ and $a_2(\\Lambda/m)$ depending on $\\Lambda/m$ such that $$\\mass/m =1 + a_1(\\Lambda/m) e^2+ a_2(\\Lambda/m) e^4+ {\\mathcal O}(e^6)$$ are given. It is shown that the spin interaction enhances the effective mass and that there exist strictly positive constants $b_1,b_2, c_1$ and $c_2$ such that $$\\d b_1\\leq \\lim_{\\L"},"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":"math-ph/0412026","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-12-09T09:00:06Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"57d1f7d58e789bb27c7bb7b61f4fd6ac2e1d7eb695794c8ea4527f5ab42b8b23","abstract_canon_sha256":"2bbdb3b23d4d81e241e6d9bd88df03a2843ae08d0bef248979fca167659e069a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:18.967392Z","signature_b64":"tU+0pjZBOEwLd/YVETbjUg7Q0TkeVMN2uEKdTtj6zBQCayFdjzc45yMxXXXJ2yXd5+RYadpp9AzKLb+/2kkYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e9fc0b04892d813cbdecb4f22b5ddfdf07137f585211e4b91f22ae447934b184","last_reissued_at":"2026-05-18T04:36:18.966831Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:18.966831Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mass Renormalization in Non-relativistic Quantum Electrodynamics with Spin 1/2","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"F. Hiroshima, K. R. Ito","submitted_at":"2004-12-09T09:00:06Z","abstract_excerpt":"The effective mass $\\mass$ of the the Pauli-Fierz Hamiltonain with ultraviolet cutoff $\\Lambda$ and the bare mass $m$ in nonrelativistic QED with spin 1/2 is investigated. Analytic properties of $\\mass$ in coupling constant $e$ are shown and explicit forms of constants $a_1(\\Lambda/m)$ and $a_2(\\Lambda/m)$ depending on $\\Lambda/m$ such that $$\\mass/m =1 + a_1(\\Lambda/m) e^2+ a_2(\\Lambda/m) e^4+ {\\mathcal O}(e^6)$$ are given. It is shown that the spin interaction enhances the effective mass and that there exist strictly positive constants $b_1,b_2, c_1$ and $c_2$ such that $$\\d b_1\\leq \\lim_{\\L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0412026","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":"math-ph/0412026","created_at":"2026-05-18T04:36:18.966921+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0412026v2","created_at":"2026-05-18T04:36:18.966921+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0412026","created_at":"2026-05-18T04:36:18.966921+00:00"},{"alias_kind":"pith_short_12","alias_value":"5H6AWBEJFWAT","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"5H6AWBEJFWATZPPM","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"5H6AWBEJ","created_at":"2026-05-18T12:25:52.051335+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/5H6AWBEJFWATZPPMWTZCWXO734","json":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734.json","graph_json":"https://pith.science/api/pith-number/5H6AWBEJFWATZPPMWTZCWXO734/graph.json","events_json":"https://pith.science/api/pith-number/5H6AWBEJFWATZPPMWTZCWXO734/events.json","paper":"https://pith.science/paper/5H6AWBEJ"},"agent_actions":{"view_html":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734","download_json":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734.json","view_paper":"https://pith.science/paper/5H6AWBEJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0412026&json=true","fetch_graph":"https://pith.science/api/pith-number/5H6AWBEJFWATZPPMWTZCWXO734/graph.json","fetch_events":"https://pith.science/api/pith-number/5H6AWBEJFWATZPPMWTZCWXO734/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734/action/storage_attestation","attest_author":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734/action/author_attestation","sign_citation":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734/action/citation_signature","submit_replication":"https://pith.science/pith/5H6AWBEJFWATZPPMWTZCWXO734/action/replication_record"}},"created_at":"2026-05-18T04:36:18.966921+00:00","updated_at":"2026-05-18T04:36:18.966921+00:00"}