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Quantum vacuum energies and Casimir forces between partially transparentδ-function plates

Authors: Muñoz-Castañeda, Jose María; Mateos Guilarte, Juan María; Moreno Mosquera, Asdrúbal;

Quantum vacuum energies and Casimir forces between partially transparentδ-function plates

Abstract

In this paper the quantum vacuum energies induced by massive fluctuations of one real scalar field on a configuration of two partially transparent plates are analysed. The physical properties of the infinitely thin plates are characterized by two Dirac-$δ$ potentials. We find that an attractive/repulsive Casimir force arises between the plates when the weights of the $δ$'s have equal/different sign. If some of the plates absorbs fluctuations below some threshold of energy (the corresponding weight is negative) there is the need to set a minimum mass to the scalar field fluctuations to preserve unitarity in the corresponding quantum field theory. Two repulsive $δ$-interactions are compatible with massless fluctuations. The effect of Dirichlet boundary conditions at the endpoints of the interval $(-a,a)$ on a massless scalar quantum field theory defined on this interval is tantamount letting the weights of the repulsive $δ$-interactions to $+\infty$.

Accepted for publication in Phys. Rev. D

Country
Spain
Keywords

High Energy Physics - Theory, Quantum Physics, Física Cuántica, F?sica Cu?ntica, 2290.01 F?sica te?rica altas energ?as, 12 Matemáticas, Física Altas Energías, F?sica Matem?tica, F?sica Altas Energ?as, FOS: Physical sciences, Física Matemática, Mathematical Physics (math-ph), 2212.12 Teoría cuántica de campos, High Energy Physics - Theory (hep-th), 12 Matem?ticas, 2290.01 Física teórica altas energías, 2212.12 Teor?a cu?ntica de campos, Quantum Physics (quant-ph), Mathematical Physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
53
Top 10%
Top 10%
Top 10%
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