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

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.

9 pages

References in corpus (4)

• "Massless" vector field in de Sitter Universe
• A Group Theoretical Approach to Graviton Two-Point Function
• Quantum gravity and the cosmological constant: lessons from two-dimensional dilaton gravity
• The Standard Model in a Weak Gravitational Background. Dilatons, Scale Anomalies and Conformal Methods

Cited by in corpus (6)

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• Covariant and infrared-free graviton two-point function in de Sitter spacetime II
• "Massless" spin-2 field in de Sitter space
• Gupta-Bleuler quantization for linearized gravity in de Sitter spacetime
• Casimir energy-momentum tensor for a quantized bulk scalar field in the geometry of two curved branes on Friedmann-Robertson-Walker background
• Examining a covariant and renormalizable quantum field theory in de Sitter space by studying "black hole radiation"