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Radiative Corrections to Casimir Effect in the $λϕ^{4}$ Model

R. M. Cavalcanti·C. Farina·F. A. Barone
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Abstract

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $λϕ^{4}$ self-interaction in $d+1$ dimensions. We consider the field submitted to four types of boundary conditions on two parallel planes, namely: (i) quasi-periodic boundary conditions, which interpolates continuously periodic and anti-periodic ones, (ii) Dirichlet conditions on both planes, (iii) Neumann conditions on both planes and (iv) mixed conditions, that is, Dirichlet on one plane and Neumann on the other one.

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R. M. Cavalcanti, C. Farina, F. A. Barone. 2006-04-27. Radiative Corrections to Casimir Effect in the $λϕ^{4}$ Model. https://arxiv.org/abs/hep-th/0604200

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