{"paper":{"title":"On the Ultraviolet Limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alexander Hach, Volker Bach","submitted_at":"2020-04-14T13:39:09Z","abstract_excerpt":"Two decades ago, Lieb and Loss proposed to approximate the ground state energy of a free, nonrelativistic electron coupled to the quantized radiation field by the infimum $E_{\\alpha, \\Lambda}$ of all expectation values $\\langle \\phi_{el} \\otimes \\psi_{ph} | H_{\\alpha, \\Lambda} (\\phi_{el} \\otimes \\psi_{ph}) \\rangle$, where $H_{\\alpha, \\Lambda}$ is the corresponding Hamiltonian with fine structure constant $\\alpha >0$ and ultraviolet cutoff $\\Lambda < \\infty$, and $\\phi_{el}$ and $\\psi_{ph}$ are normalized electron and photon wave functions, respectively. Lieb and Loss showed that $c \\alpha^{1/2"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2004.06494","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2004.06494/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}