{"paper":{"title":"Spectrum of the semi-relativistic Pauli-Fierz model I","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Fumio Hiroshima, Takeru Hidaka","submitted_at":"2014-02-05T14:57:37Z","abstract_excerpt":"HVZ type theorem for semi-relativistic Pauli-Fierz Hamiltonian, $$\\HHH=\\sqrt{(p\\otimes \\one -A)^2+M^2}+V\\otimes \\one +\\one\\otimes \\hf,\\quad M\\geq 0,$$ in quantum electrodynamics is studied. Here $H$ is a self-adjoint operator in Hilbert space $\\LR\\otimes \\fff\\cong \\int^\\oplus_{\\RR^d}\\fff {\\rm d}x$, and $A=\\int^\\oplus_{\\RR^d} A(x) {\\rm d}x$ a quantized radiation field and $\\hf$ the free field Hamiltonian defined by the second quantization of a dispersion relation $\\omega:\\RR^d\\to \\RR$. It is emphasized that massless case, $M=0$, is included. Let $E=\\inf \\sigma (\\HHH)$ be the bottom of the spect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1065","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"}