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Abstract:

Dirichlet boundary conditions on a surface can be imposed on a scalar field, by coupling it quadratically to a δ-like potential, the strength of which tends to infinity. Neumann conditions, on the other hand, require the introduction of an even more singular term, which renders the reflection and transmission coefficients ill-defined because of UV divergences. We present a possible procedure to tame those divergences, by introducing a minimum length scale, related to the nonzero 'width' of a nonlocal term. We then use this setup to reach (either exact or imperfect) Neumann conditions, by taking the appropriate limits. After defining meaningful reflection coefficients, we calculate the Casimir energies for flat parallel mirrors, presenting also the extension of the procedure to the case of arbitrary surfaces. Finally, we discuss briefly how to generalize the worldline approach to the nonlocal case, what is potentially useful in order to compute Casimir energies in theories containing nonlocal potentials; in particular, those which we use to reproduce Neumann boundary conditions. © 2010 Elsevier B.V. All rights reserved.

Registro:

Documento: Artículo
Título:Neumann Casimir effect: A singular boundary-interaction approach
Autor:Fosco, C.D.; Lombardo, F.C.; Mazzitelli, F.D.
Filiación:Centro Atómico Bariloche, Instituto Balseiro, Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina
Departamento de Física Juan José Giambiagi, FCEyN UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires, Argentina
Palabras clave:Boundary conditions; Casimir effect
Año:2010
Volumen:690
Número:2
Página de inicio:189
Página de fin:195
DOI: http://dx.doi.org/10.1016/j.physletb.2010.05.020
Título revista:Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Título revista abreviado:Phys Lett Sect B Nucl Elem Part High-Energy Phys
ISSN:03702693
CODEN:PYLBA
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_03702693_v690_n2_p189_Fosco.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03702693_v690_n2_p189_Fosco

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Citas:

---------- APA ----------
Fosco, C.D., Lombardo, F.C. & Mazzitelli, F.D. (2010) . Neumann Casimir effect: A singular boundary-interaction approach. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 690(2), 189-195.
http://dx.doi.org/10.1016/j.physletb.2010.05.020
---------- CHICAGO ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "Neumann Casimir effect: A singular boundary-interaction approach" . Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 690, no. 2 (2010) : 189-195.
http://dx.doi.org/10.1016/j.physletb.2010.05.020
---------- MLA ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. "Neumann Casimir effect: A singular boundary-interaction approach" . Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, vol. 690, no. 2, 2010, pp. 189-195.
http://dx.doi.org/10.1016/j.physletb.2010.05.020
---------- VANCOUVER ----------
Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D. Neumann Casimir effect: A singular boundary-interaction approach. Phys Lett Sect B Nucl Elem Part High-Energy Phys. 2010;690(2):189-195.
http://dx.doi.org/10.1016/j.physletb.2010.05.020