In this work we reexamine the Casimir effect in which the vacuum expectation value of quantum fields is calculated over a so-called Krein space. This method has already been successfully… Click to show full abstract
In this work we reexamine the Casimir effect in which the vacuum expectation value of quantum fields is calculated over a so-called Krein space. This method has already been successfully applied to study Casimir effect on non-trivial topologies and also the covariance problem in the massless minimally coupled scalar field in de Sitter space-time. It is shown that within this method, no infinite term appears in the computation of the vacuum expectation value of energy-momentum tensor. We investigate the behavior of the Krein quantization for a scalar field in a box satisfying the Dirichlet boundary condition. We show that one can recover the usual theory with the exception that the vacuum energy of the free theory is zero.
               
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