When the Casimir energy is not a sum of zero-point energies

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We compute the leading radiative correction to the Casimir force between two parallel plates in the λΦ4 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 λ3/2. © 2002 The American Physical Society.



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Physical Review D, v. 65, n. 4, 2002.