Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by means of a local expansion procedure. As a result of this e...

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Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego
Publicado: 2009
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v80_n8_p_Fosco
http://hdl.handle.net/20.500.12110/paper_15507998_v80_n8_p_Fosco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_15507998_v80_n8_p_Fosco2023-06-08T16:22:10Z Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials Lombardo, Fernando César Mazzitelli, Francisco Diego We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by means of a local expansion procedure. As a result of this expansion, an effective theory for the vacuum field emerges, which can be written in terms of generalized δ potentials. We compute explicitly the Casimir energy for these potentials and show that, for some particular cases, it is possible to reinterpret them as imposing imperfect Dirichlet boundary conditions. © 2009 The American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v80_n8_p_Fosco http://hdl.handle.net/20.500.12110/paper_15507998_v80_n8_p_Fosco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by means of a local expansion procedure. As a result of this expansion, an effective theory for the vacuum field emerges, which can be written in terms of generalized δ potentials. We compute explicitly the Casimir energy for these potentials and show that, for some particular cases, it is possible to reinterpret them as imposing imperfect Dirichlet boundary conditions. © 2009 The American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
author_sort Lombardo, Fernando César
title Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials
title_short Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials
title_full Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials
title_fullStr Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials
title_full_unstemmed Derivative expansion for the boundary interaction terms in the Casimir effect: Generalized δ potentials
title_sort derivative expansion for the boundary interaction terms in the casimir effect: generalized δ potentials
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v80_n8_p_Fosco
http://hdl.handle.net/20.500.12110/paper_15507998_v80_n8_p_Fosco
work_keys_str_mv AT lombardofernandocesar derivativeexpansionfortheboundaryinteractiontermsinthecasimireffectgeneralizeddpotentials
AT mazzitellifranciscodiego derivativeexpansionfortheboundaryinteractiontermsinthecasimireffectgeneralizeddpotentials
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