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The non-analytic point depends on the mass and charge constellations, is unproblematic for stable particles but constrains the linear energy shift approximation for resonances. We calculate the $B$ dependent self-energies of the nucleon and $\\Delta(1232)$-isobar in the SU(2) covariant chiral perturbation theory and outline a way to obtain finite volume corrections to the nucleon anomalous magnetic momen"},"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":"1111.3595","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-11-15T17:46:35Z","cross_cats_sorted":["hep-ex","hep-lat"],"title_canon_sha256":"de908addeba3019531a0ca3aeef3626875052325a925f89b572b81f6ca8e166c","abstract_canon_sha256":"39664274c02f2eaa29698fb79663bd9ebcc99321611a0f5f4b1171e69b22a6fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:01.338590Z","signature_b64":"/R9ziVvbijG2gK90bSLmdcFlS8ZYyrLhE28s+k481aNCBn67C3QkMJTY9lwUPR6daDPRcAgSIpe9Q1imKWXIBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3dc65c617474716e478da35b07237fbd8d5c893b8d7351d04173b3c83d0ca64c","last_reissued_at":"2026-05-18T03:23:01.338067Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:01.338067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Background field approach to electromagnetic properties of baryons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","hep-lat"],"primary_cat":"hep-ph","authors_text":"Tim Ledwig","submitted_at":"2011-11-15T17:46:35Z","abstract_excerpt":"We investigate the self-energies of particles in an external magnetic field $B$. 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