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arXiv · 1808.09746

The MIT Bag Model as an infinite mass limit

Naiara Arrizabalaga·Loïc Le Treust·Albert Mas·Nicolas Raymond
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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.

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Naiara Arrizabalaga, Loïc Le Treust, Albert Mas, Nicolas Raymond. 2018-08-29. The MIT Bag Model as an infinite mass limit. https://arxiv.org/abs/1808.09746

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