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.
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Submitted on : Tuesday, August 28, 2018 - 10:12:51 AM
Last modification on : Friday, May 20, 2022 - 9:04:50 AM
Long-term archiving on: : Thursday, November 29, 2018 - 1:14:44 PM

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

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Naiara Arrizabalaga, Loïc Le Treust, Albert Mas, Nicolas Raymond. The MIT Bag Model as an infinite mass limit. 2018. ⟨hal-01863065v1⟩

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