{"paper":{"title":"The No-Binding Regime of the Pauli-Fierz Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Akito Suzuki, Fumio Hiroshima, Herbert Spohn","submitted_at":"2011-04-06T02:19:32Z","abstract_excerpt":"The Pauli-Fierz model $H(\\alpha)$ in nonrelativistic quantum electrodynamics is considered. The external potential $V$ is sufficiently shallow and the dipole approximation is assumed. It is proven that there exist constants $0<\\alpha_-< \\alpha_+$ such that $H(\\alpha)$ has no ground state for $|\\alpha|<\\alpha_-$, which complements an earlier result stating that there is a ground state for $|\\alpha| > \\alpha_+$. We develop a suitable extension of the Birman-Schwinger argument. Moreover for any given $\\delta>0$ examples of potentials $V$ are provided such that $\\alpha_+-\\alpha_-<\\delta$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.0990","kind":"arxiv","version":1},"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"}