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Abstract:

We calculate the Casimir interaction energy in d=2 spatial dimensions between two (zero-width) mirrors - one flat and the other slightly curved - upon which imperfect conductor boundary conditions are imposed for an electromagnetic (EM) field. Our main result is a second-order derivative expansion (DE) approximation for the Casimir energy, which is studied in different interesting limits. In particular, we focus on the emergence of a nonanalyticity beyond the leading-order term in the DE, when approaching the limit of perfectly conducting mirrors. We also show that the system considered is equivalent to a dual one, consisting of a massless real scalar field satisfying imperfect Neumann conditions (on the very same boundaries). Therefore, the results obtained for the EM field hold true also for the scalar field model. © 2015 American Physical Society.

Registro:

Documento: Artículo
Título:Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors
Autor:Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D.
Filiación:Centro Atómico Bariloche, Instituto Balseiro, Comisión Nacional de Energía Atómica, Bariloche, R8402AGP, Argentina
Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Buenos Aires, 1428, Argentina
Año:2015
Volumen:91
Número:10
DOI: http://dx.doi.org/10.1103/PhysRevD.91.105019
Título revista:Physical Review D - Particles, Fields, Gravitation and Cosmology
Título revista abreviado:Phys Rev D Part Fields Gravit Cosmol
ISSN:15507998
CODEN:PRVDA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v91_n10_p_Fosco

Referencias:

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Citas:

---------- APA ----------
Fosco, C.D., Lombardo, F.C. & Mazzitelli, F.D. (2015) . Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors. Physical Review D - Particles, Fields, Gravitation and Cosmology, 91(10).
http://dx.doi.org/10.1103/PhysRevD.91.105019
---------- CHICAGO ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors" . Physical Review D - Particles, Fields, Gravitation and Cosmology 91, no. 10 (2015).
http://dx.doi.org/10.1103/PhysRevD.91.105019
---------- MLA ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors" . Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 91, no. 10, 2015.
http://dx.doi.org/10.1103/PhysRevD.91.105019
---------- VANCOUVER ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. Derivative expansion for the electromagnetic and Neumann-Casimir effects in 2+1 dimensions with imperfect mirrors. Phys Rev D Part Fields Gravit Cosmol. 2015;91(10).
http://dx.doi.org/10.1103/PhysRevD.91.105019