Particle Creation in Global de Sitter Space: Bulk Space Consideration

TL;DR

This paper demonstrates that global de Sitter space is inherently unstable to particle creation, extending previous results to higher-spin fields using a coordinate-independent plane wave formalism rooted in the space's symmetry.

Contribution

It generalizes the instability analysis of de Sitter space to higher-spin fields using a globally defined, group-theoretic plane wave approach based on embedding space symmetry.

Findings

Global de Sitter space exhibits instability due to particle creation.

The formalism applies to higher-spin fields.

Mode solutions are derived from group theoretical methods.

Abstract

Recently in \cite{Anderson:2013zia, Anderson:2013ila}, it was shown that global de Sitter space is unstable even to the massive particle creation with no self-interactions. In this paper we study the instability by making use of the coordinate-independent plane wave in de Sitter space, within this formalism, we show that the previous results of instability of de Sitter space due to the particle creation can be generalized to higher-spin fields in a straightforward way. The so-called plane wave are defined globally in de Sitter space and de Sitter invariance is manifest since such modes are deduced from the group theoretical point of view by the means of the Casimir operators. In fact, we employ the underling symmetry of embedding space namely the $4+1$ dimensional flat space to write the field equations and the solutions can be obtained in terms of the plane wave in embedding space.