{"paper":{"title":"Ground state energy of dense gases of strongly interacting fermions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"B{\\l}a\\.zej Ruba, Jan Philip Solovej, S{\\o}ren Fournais","submitted_at":"2024-02-13T14:34:58Z","abstract_excerpt":"We study the ground state energy of a gas of $N$ fermions confined to a unit box in $d$ dimensions. The particles interact through a 2-body potential with strength scaled in an $N$-dependent way as $N^{-\\alpha}v$, where $\\alpha\\in \\mathbb R$ and $v$ is a function of positive type satisfying a mild regularity assumption. Our focus is on the strongly interacting case $\\alpha<1-\\frac2d$. We contrast our result with existing results in the weakly interacting case $\\alpha>1-\\frac2d$, and the transition happening at the mean-field scaling $\\alpha=1-\\frac2d$. Our proof is an adaptation of the bosoniz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.08490","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/2402.08490/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"}