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Dirac operators on hypersurfaces as large mass limits

Moroianu, Andrei; Ourmières-Bonafos, Thomas; Pankrashkin, Konstantin (2020), Dirac operators on hypersurfaces as large mass limits, Communications in Mathematical Physics, 374, p. 1963–2013. 10.1007/s00220-019-03642-x

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Type
Article accepté pour publication ou publié
Date
2020
Journal name
Communications in Mathematical Physics
Volume
374
Publisher
Springer
Published in
Paris
Pages
1963–2013
Publication identifier
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Author(s)
Moroianu, Andrei
Laboratoire de Mathématiques d'Orsay [LMO]
Ourmières-Bonafos, Thomas
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Pankrashkin, Konstantin
Laboratoire de Mathématiques d'Orsay [LMO]
Abstract (EN)
We show that the eigenvalues of the intrinsic Dirac operator on the boundary of a Euclidean domain can be obtained as the limits of eigenvalues of Euclidean Dirac operators, either in the domain with a MIT-bag type boundary condition or in the whole space, with a suitably chosen zero order mass term.
Subjects / Keywords
Dirac operators; Euclidean domain