Determinants of Dirac operators with local boundary conditions

Determinants of Dirac operators with local boundary conditions

We study functional determinants for Dirac operators on manifolds with boundary. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green’s functions. We finally apply this result to the case of a bidimensional disk under baglike conditions....

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Veröffentlicht in:Journal of mathematical physics 1996-11, Vol.37 (11), p.5805-5819
Hauptverfasser: Falomir, H., Gamboa Saraví, R. E., Muschietti, M. A., Santangelo, E. M., Solomin, J. E.
Format: Artikel
Sprache:eng
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Zusammenfassung:We study functional determinants for Dirac operators on manifolds with boundary. We give, for local boundary conditions, an explicit formula relating these determinants to the corresponding Green’s functions. We finally apply this result to the case of a bidimensional disk under baglike conditions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531700