# The MIT Bag Model as an infinite mass limit

Abstract : 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.
Keywords :
Type de document :
Pré-publication, Document de travail
2018
Domaine :

https://hal-amu.archives-ouvertes.fr/hal-01863065
Contributeur : Loïc Le Treust <>
Soumis le : mardi 28 août 2018 - 10:12:51
Dernière modification le : jeudi 15 novembre 2018 - 11:56:49

### Fichiers

ALMR18_4june_arkiv.pdf
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### Identifiants

• HAL Id : hal-01863065, version 1
• ARXIV : 1808.09746

### Citation

Naiara Arrizabalaga, Loïc Le Treust, Albert Mas, Nicolas Raymond. The MIT Bag Model as an infinite mass limit. 2018. 〈hal-01863065〉

### Métriques

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