{"paper":{"title":"Mass renormalization in nonrelativistic QED","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Fumio Hiroshima, Herbert Spohn","submitted_at":"2003-10-22T04:57:38Z","abstract_excerpt":"In nonrelativistic QED the charge of an electron equals its bare value, whereas the self-energy and the mass have to be renormalized. In our contribution we study perturbative mass renormalization, including second order in the fine structure constant $\\alpha$, in the case of a single, spinless electron. As well known, if $m$ denotes the bare mass and $\\mass$ the mass computed from the theory, to order $\\alpha$ one has $$\\frac{\\mass}{m} =1+\\frac{8\\alpha}{3\\pi} \\log(1+\\half (\\Lambda/m))+O(\\alpha^2)$$ which suggests that $\\mass/m=(\\Lambda/m)^{8\\alpha/3\\pi}$ for small $\\alpha$. If correct, in ord"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0310043","kind":"arxiv","version":3},"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"}