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arXiv · 1110.0481

Quantum Scalar Field in D-dimensional de Sitter Spacetimes

G. Alencar·I. Guedes·R. R. Landim·R. N. Costa Filho
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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 $ξ$. This is important in extra dimension physics, as in the Randall-Sundrum model.

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G. Alencar, I. Guedes, R. R. Landim, R. N. Costa Filho. 2012-02-17. Quantum Scalar Field in D-dimensional de Sitter Spacetimes. https://doi.org/10.1209/0295-5075%2F98%2F11001

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