Symmetry Breaking in the Static Coordinate System of de Sitter Spacetime

TL;DR

This paper investigates symmetry breaking and its restoration in de Sitter spacetime using the functional-Schrodinger approach, focusing on a massless scalar field with O(2) symmetry in static coordinates.

Contribution

It applies the functional-Schrodinger method to analyze symmetry breaking in de Sitter space, demonstrating symmetry restoration through correlation function analysis.

Findings

Symmetry is broken in the static coordinate system.

Correlation functions indicate symmetry restoration.

Method confirms previous theoretical predictions.

Abstract

We study symmetry breaking in the static coordinate-system of de Sitter space. This is done with the help of the functional-Schr\"odinger approach used in previous calculations by Ratra [1]. We consider a massless, minimally coupled scalar field as the parameter of a continuous symmetry (the angular component of an O(2) symmetry). Then we study the correlation function of the massless scalar field, to derive the correlation function of the original field, which finally shows the restoration of the continuous symmetry.