In this work we first obtain a trajectory of a freely falling charged particle in de Sitter space and then in the classical approach, the effect of electromagnetic self-force on particle's trajectory has been considered. Finally, some limits for the problem have been presented.
We make an explicit calculation of Casimir effect through an alternative approach of field quantization for a spherical shell in which only the radial part of fluctuation has been taken into account. In this method, negative norm states have been utilized to obtain a natural renormalized theory with the condition that they cannot be affected by the physical boundary conditions. It is shown that by using this method, the exact result is obtained without any appearance of infinity.
In this paper, we consider a new version of indefinite metric field quantization called “Krein” quantization approach. Centering on the vacuum energy, fundamental subjects revolving around this concept will be discussed. In this approach, vacuum expectation value of the energy–momentum tensor can be defined properly and uniquely. Actually, no infinite term appears and the vacuum energy of the free field vanishes. These properties allow us to propose a discussion that creates an interesting link to the cosmological constant problem. Achieving this goal, however, necessitates consistency of the theory with conventional ones, so we have studied and made comparison with essential issues, such as unitarity of the theory, physical achievements of renormalizing process, and the trace anomaly subject.
In this paper, we calculate the effect of a weak gravitational field on the Casimir force between two ideal plates subjected to a massless minimally coupled field. It is the aim of this work to study the Casimir energy under a weak perturbation of gravity. Moreover, the fluctuations of the stress-energy tensor for a scalar field in de Sitter space-time are computed as well.
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