Quantum Scalar Field in D-dimensional de Sitter Spacetimes

TL;DR

This paper explores the quantum behavior of scalar fields in D-dimensional de Sitter spacetime using dynamic invariants, revealing how the Bunch-Davies thermal bath depends on dimensionality and conformal parameters, with implications for extra dimension theories.

Contribution

It generalizes previous results on scalar fields in de Sitter space to arbitrary dimensions and analyzes the dependence of the thermal bath on dimensional and conformal parameters.

Findings

Quantum scalar fields in D-dimensional de Sitter space are solved using dynamic invariants.

The Bunch-Davies thermal bath varies with the dimension D and conformal parameter ξ.

Results have implications for theories with extra dimensions, like Randall-Sundrum models.

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 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.