{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:TW3ISDV6IX63TVC3SOJC5LLPYN","short_pith_number":"pith:TW3ISDV6","schema_version":"1.0","canonical_sha256":"9db6890ebe45fdb9d45b93922ead6fc360b0b00d6614c8c5412481fb1a731bfe","source":{"kind":"arxiv","id":"1708.03740","version":1},"attestation_state":"computed","paper":{"title":"Scaling dimensions in QED$_3$ from the $\\epsilon$-expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Emmanuel Stamou, Lorenzo Di Pietro","submitted_at":"2017-08-12T03:15:39Z","abstract_excerpt":"We study the fixed point that controls the IR dynamics of QED in $d = 4 - 2\\epsilon$. We derive the scaling dimensions of four-fermion and bilinear operators beyond leading order in $\\epsilon$-expansion. For the four-fermion operators, this requires the computation of a two-loop mixing that was not known before. We then extrapolate these scaling dimensions to $d = 3$ to estimate their value at the IR fixed point of QED$_3$ as function of the number of fermions $N_f$. The next-to-leading order result for the four-fermion operators corrects significantly the leading one. Our best estimate at thi"},"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":"1708.03740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-08-12T03:15:39Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"fa456053b1604ee63e0a95698e6a50f2b884e428779e09e8c52ec85dd4b32557","abstract_canon_sha256":"c436360c6276564f95beb3f1c05ade991a03165b52aa1f9a501351f9c76bd3ae"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:55.766038Z","signature_b64":"Pyd8Nv4C9KAYqSxLyP54GjRRTlKDmcnIGU5K5mnHJAuk1D93BTN8MXx0Vywodt8VyZgzUYL6eE9VbIjeWKJrDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9db6890ebe45fdb9d45b93922ead6fc360b0b00d6614c8c5412481fb1a731bfe","last_reissued_at":"2026-05-18T00:25:55.765347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:55.765347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scaling dimensions in QED$_3$ from the $\\epsilon$-expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Emmanuel Stamou, Lorenzo Di Pietro","submitted_at":"2017-08-12T03:15:39Z","abstract_excerpt":"We study the fixed point that controls the IR dynamics of QED in $d = 4 - 2\\epsilon$. We derive the scaling dimensions of four-fermion and bilinear operators beyond leading order in $\\epsilon$-expansion. For the four-fermion operators, this requires the computation of a two-loop mixing that was not known before. We then extrapolate these scaling dimensions to $d = 3$ to estimate their value at the IR fixed point of QED$_3$ as function of the number of fermions $N_f$. The next-to-leading order result for the four-fermion operators corrects significantly the leading one. Our best estimate at thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03740","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":""},"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":"1708.03740","created_at":"2026-05-18T00:25:55.765467+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.03740v1","created_at":"2026-05-18T00:25:55.765467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03740","created_at":"2026-05-18T00:25:55.765467+00:00"},{"alias_kind":"pith_short_12","alias_value":"TW3ISDV6IX63","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"TW3ISDV6IX63TVC3","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"TW3ISDV6","created_at":"2026-05-18T12:31:46.661854+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/TW3ISDV6IX63TVC3SOJC5LLPYN","json":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN.json","graph_json":"https://pith.science/api/pith-number/TW3ISDV6IX63TVC3SOJC5LLPYN/graph.json","events_json":"https://pith.science/api/pith-number/TW3ISDV6IX63TVC3SOJC5LLPYN/events.json","paper":"https://pith.science/paper/TW3ISDV6"},"agent_actions":{"view_html":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN","download_json":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN.json","view_paper":"https://pith.science/paper/TW3ISDV6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.03740&json=true","fetch_graph":"https://pith.science/api/pith-number/TW3ISDV6IX63TVC3SOJC5LLPYN/graph.json","fetch_events":"https://pith.science/api/pith-number/TW3ISDV6IX63TVC3SOJC5LLPYN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN/action/storage_attestation","attest_author":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN/action/author_attestation","sign_citation":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN/action/citation_signature","submit_replication":"https://pith.science/pith/TW3ISDV6IX63TVC3SOJC5LLPYN/action/replication_record"}},"created_at":"2026-05-18T00:25:55.765467+00:00","updated_at":"2026-05-18T00:25:55.765467+00:00"}