Quantum Scalar Field in D-dimensional de Sitter Spacetimes

Abstract

In this work we investigate the quantum theory of scalar fields propagating in a $D-$dimensional de Sitter spacetime. The method of dynamic invariants is used to obtain the solution of the time-dependent Schrödinger equation. The quantum behavior of the scalar field in this background is analyzed, and the results generalize previous ones found in the literature. We point that the Bunch-Davies thermal bath depends on the choice of $D$ and the conformal parameter $\xi$. This is important in extra dimension physics, as in the Randall-Sundrum model.

9 pages

References in corpus (5)

• The Unruh effect and its applications
• Braneworld Models of Scalar Fields with Generalized Dynamics
• A Transfer Matrix Method for Resonances in Randall-Sundrum Models
• Casimir densities for a plate in de Sitter spacetime
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Cited by in corpus (3)

• Quantum Kalb-Ramond Field in D-dimensional de Sitter Spacetimes
• Quantized $p$-form Gauge Field in D-dimensional de Sitter Spacetime
• Emergence of squeezed coherent states in Kaluza-Klein cosmology