Casimir energy for a scalar field with a frequency dependent boundary condition

Content Provider	Semantic Scholar
Author	Falomir, H. Rébora, Karine
Abstract	The Casimir effect [1,2] arises as a distortion of the vacuum energy of quantized fields due to the presence of boundaries (or nontrivial topologies) in the quantization domain. This effect, which has a quantum nature associated with the zero-point oscillations in the vacuum state, is significant in diverse areas of physics, from statistical physics to elementary particle physics and cosmology. In particular, in the last years there has been a great interest in the Casimir energy of electromagnetic fields in the presence of dielectric media, due to Schwinger’s suggestion [3] that it could play a role in the explanation of the phenomenon of sonoluminescence [4]. The results obtained on this subject by different groups through several calculation techniques (as Green’s functions methods, van der Waals forces, ζ-function methods and asymptotic developments for the density of states see references [5–14] among others) are rather controversial, and some basic issues remain to be clarified. In this respect, it is our aim to contribute to the understanding of the problem by studying a simplified model, which incorporates a frequency cut-off in the boundary conditions at the separation between media, to emulate the behavior of real dielectrics.
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Alternate Webpage(s)	http://cds.cern.ch/record/456017/files/0008251.pdf
Language	English
Access Restriction	Open
Subject Keyword	Arabic numeral 0 Courant–Friedrichs–Lewy condition Distortion Electromagnetic Phenomena Elementary particle
Content Type	Text
Resource Type	Article