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In the case where $d_\\gamma=4$ such RQEDs are renormalizable while they are super-renormalizable for $d_\\gamma <4$. The 2-loop electromagnetic current correlation function is computed exactly for a general RQED$_{d_\\gamma,d_e}$. Focusing on RQED$_{4,3}$, the corresponding $\\beta$-function is shown to vanish w"},"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":"1204.5664","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-25T14:14:59Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"18fcbd0f93c1cf75906a38d5045474390a9bbb4f53ea8f650b34d07f3b4978fa","abstract_canon_sha256":"d71d0281a472816ff688568c03abfcc28c8a3b95b32625bc8f26859b75b2c6e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:12.479724Z","signature_b64":"3DdclLGnQd5tBsHE/yisK0jolSL7K09RtCDTKQh3590hgiRUIj2g/neT68L81xuPeUnO4LmxZNmthDddA2uJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5720d3fc7f18e1d6130530ae2b1ed038e7051c8d783c7825dc19326a72256ae","last_reissued_at":"2026-05-18T03:41:12.479217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:12.479217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Electromagnetic current correlations in reduced quantum electrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"hep-ph","authors_text":"S. Teber","submitted_at":"2012-04-25T14:14:59Z","abstract_excerpt":"We consider a theory of massless reduced quantum electrodynamics (RQED$_{d_\\gamma,d_e}$), e.g., a quantum field theory where the U(1) gauge field lives in $d_\\gamma$-spacetime dimensions while the fermionic field lives in a reduced spacetime of $d_e$ dimensions ($d_e \\leqslant d_\\gamma$). In the case where $d_\\gamma=4$ such RQEDs are renormalizable while they are super-renormalizable for $d_\\gamma <4$. The 2-loop electromagnetic current correlation function is computed exactly for a general RQED$_{d_\\gamma,d_e}$. 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