{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"783c8e920b15ff0c0816ae0a52a8e974f2bfe596c07326a1b1d1f0837a5c0477","created":"2026-10-03T07:18:08Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"f52600e68d433e6d9e11cde552466beec22de6ca62fb8eabf30021e49dc228ba","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"mechanism","assisted_by":[],"external_id":"plasma.sfqed-breakdown.physics-beyond","kind":"phenomenon","literature_status":"open","n":"1","parents":[],"plain":"If the step-by-step expansion fails, a different way of calculating is needed. The question is what electrons and photons actually do in that regime and what experiments would see.","posed_since":"","precise":"Assuming the loop expansion in a constant crossed field fails for $\\alpha \\chi^{2/3} >> 1$, construct a nonperturbative description, for example self-consistent Schwinger-Dyson equations for the dressed electron and photon propagators with a controlled truncation, an effective running coupling, or a semiclassical strong-coupling expansion. Give the resulting dressed dispersion relations and the rates of photon emission and pair creation, and show that the scheme reproduces the perturbative results for $\\alpha \\chi^{2/3} << 1$.","problem_ref":null,"references":"","settled_by":"A nonperturbative framework whose truncation error is controlled, verified against known one- and two-loop results, and yielding testable rates.","status_note":"","title":"What theory describes QED at $\\alpha \\chi^{2/3}$ much larger than one","topic_ref":"f9cfa2a1bf155213e934541790fd691ae6e038888b9089b48b324c8fb0b5add2"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"74b124a0b9df166156add1c6e91be25923908eef4489a333c39ec999f567e4ef","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"a1411d9885065a02c67e6284fd4321cb0c2b9bd9ea45f878667937819d8e321e","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"p3d8ZX6_U8JwbK_meSPQpZLOud2veltOt8YnRnzEcFFuW_R7Dm8GCYmmkqFbH2Gk73fqi9liZl2uez1g8-QzBw"},"schema":"pubphys.envelope/1"},"record_hash":"74b124a0b9df166156add1c6e91be25923908eef4489a333c39ec999f567e4ef","leaf_index":1867}