The Krein-Gupta-Bleuler Quantization in de Sitter Space-time; Casimir Energy-Momentum Tensor for a Curved Brane

TL;DR

This paper investigates the vacuum energy-momentum tensor for a conformally coupled scalar field in de Sitter space using Krein-Gupta-Bleuler quantization, including boundary effects like Casimir energy on a curved brane.

Contribution

It applies Krein-Gupta-Bleuler quantization to conformally coupled scalar fields in de Sitter space, extending previous work to include boundary conditions and Casimir effects.

Findings

Calculated the Casimir energy-momentum tensor for a curved brane.

Demonstrated the causal and covariant quantization of the scalar field.

Extended the quantization method to include boundary conditions.

Abstract

In this paper, vacuum expectation value (VEV) of the energy-momentum tensor for a conformally coupled scalar field in de Sitter space-time is investigated through the Krein-Gupta-Bleuler construction. This construction has already been successfully applied to the de Sitter minimally coupled massless scalar field and massless spin-2 field to obtain a causal and fully covariant quantum field on the de Sitter background. We also consider the effects of boundary conditions. In this respect, Casimir energy-momentum tensor induced by Dirichlet boundary condition on a curved brane is evaluated.