{"paper":{"title":"The MIT Bag Model as an infinite mass limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SP"],"primary_cat":"math.AP","authors_text":"Albert Mas, Lo\\\"ic Le Treust (I2M), Naiara Arrizabalaga (UPV/EHU), Nicolas Raymond (IRMAR)","submitted_at":"2018-08-29T12:06:17Z","abstract_excerpt":"The Dirac operator, acting in three dimensions, is considered. Assuming that a large mass $m>0$ lies outside a smooth and bounded open set $\\Omega\\subset\\R^3$, it is proved that its spectrum is approximated by the one of the Dirac operator on $\\Omega$ with the MIT bag boundary condition. The approximation, which is developed up to and error of order $o(1/\\sqrt m)$, is carried out by introducing tubular coordinates in a neighborhood of $\\partial\\Omega$ and analyzing the corresponding one dimensional optimization problems in the normal direction."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09746","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"}