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

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

2006-04-27

arxiv.org/abs/hep-th/0604200v1

Physics

High Energy Physics

High Energy Physics - Theory

24 latex pages

Scientific paper

We calculate radiative corrections to the Casimir effect for the massive complex scalar field with the $\lambda\phi^{4}$ 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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