G. Alencar, I. Guedes, R. R. Landim, R. N. Costa Filho
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 Schr\"odinger 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.
View original:
http://arxiv.org/abs/1110.0481
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