{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"d93601bdff6c5d061be5a774d9cfc4f98d02eca7d922ad99568cc3ae5dc51dbd","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["74b124a0b9df166156add1c6e91be25923908eef4489a333c39ec999f567e4ef","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"3d58c7b902df097c1747a9bccf0666532a8e8ba31e12a8ff325694523cd44b63","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":"2","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":"74b124a0b9df166156add1c6e91be25923908eef4489a333c39ec999f567e4ef","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":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"ad23229051dba5c7116a3af37ab6595ac705bf2d8d035ae1f3cbc0d562dc455c","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"7999beee2c5ad8e1bb0aa6fe15a47b1fde3828eed0a77920aa1666406d535e8e","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"43FwxBuV4Gz86tGNpYh48IOy5pCr3EnrOQywHZeJ-YpLOefZGhIG7LHStCmgt73cli7M7N7kJrx4kjeJq3_NAg"},"schema":"pubphys.envelope/1"},"record_hash":"ad23229051dba5c7116a3af37ab6595ac705bf2d8d035ae1f3cbc0d562dc455c","leaf_index":3602}