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25 April 2024
 
  » arxiv » hep-th/0108240

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When the Casimir energy is not a sum of zero-point energies
Luiz C. de Albuquerque ; R. M. Cavalcanti ;
Date 31 Aug 2001
Journal Phys.Rev. D65 (2002) 045004
Subject hep-th quant-ph
AbstractWe compute the leading radiative correction to the Casimir force between two parallel plates in the $lambdaPhi^4$ theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is computed as the sum of one-loop corrected zero-point energies, is shown to yield incorrect results, but we show how to amend it. The technique is then used in the case of periodic boundary conditions to construct a perturbative expansion which is free of infrared singularities in the massless limit. In this case we also compute the next-to-leading order radiative correction, which turns out to be proportional to $lambda^{3/2}$.
Source arXiv, hep-th/0108240
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