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Casimir Energy Corrections by Light-Cone Fluctuations
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abstract
We study the effects of light-cone fluctuations on the renormalized zero-point energy associated with a free massless scalar field in the presence of boundaries. In order to simulate light-cone fluctuations we introduce a space-time dependent random coefficient in the Klein-Gordon operator. We assume that the field is defined in a domain with one confined direction. For simplicity, we choose the symmetric case of two parallel plates separated by a distance $a$. The correction to the renormalized vacuum energy density between the plates goes as $1/a^{8}$ instead of the usual $1/a^{4}$ dependence for the free case. In turn we also show that light-cone fluctuations break down the vacuum pressure homogeneity between the plates.
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Cited by 1 Pith paper
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Analog model for Euclidean wormholes: Bose-Einstein condensate with dirty surfaces
Random surface fields in a Bose-Einstein condensate are claimed to generate non-local effective interactions that mimic Euclidean wormholes, with a disorder-induced Casimir pressure as the leading consequence.
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