Artículo
Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy
Fecha de publicación:
03/2021
Editorial:
American Physical Society
Revista:
Physical Review D
ISSN:
2470-0010
e-ISSN:
2470-0029
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We study the vacuum fluctuations of a quantum scalar field in the presence of a thin and inhomogeneous flat mirror, modeled with a delta potential. Using heat-kernel techniques, we evaluate the Euclidean effective action perturbatively in the inhomogeneities (nonperturbatively in the constant background). We show that the divergences can be absorbed into a local counterterm and that the remaining finite part is in general a nonlocal functional of the inhomogeneities, which we compute explicitly for massless fields in D=4 dimensions. For time-independent inhomogeneities, the effective action gives the Casimir self-energy for a partially transmitting mirror. For time-dependent inhomogeneities, the Wick-rotated effective action gives the probability of particle creation due to the dynamical Casimir effect.
Palabras clave:
CASIMIR EFFECT
,
EFFECTIVE ACTION
,
SINGULAR POTENTIALS
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Articulos(CCT - PATAGONIA NORTE)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - PATAGONIA NORTE
Citación
Franchino Vinas, S. A.; Mazzitelli, Francisco Diego; Effective action for delta potentials: Spacetime-dependent inhomogeneities and Casimir self-energy; American Physical Society; Physical Review D; 103; 6; 3-2021; 1-17
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