Wightman functions in de Sitter and anti-de Sitter spacetimes in the presence of cosmic string

TL;DR

This paper computes Wightman functions for a scalar field in de Sitter and anti-de Sitter spacetimes with a cosmic string, analyzing how the string influences quantum vacuum properties.

Contribution

It provides explicit calculations of Wightman functions and vacuum expectation values in these spacetimes with a cosmic string, highlighting the topological defect's effects.

Findings

Vacuum expectation values depend on the distance to the cosmic string.

The presence of the string modifies quantum field behavior in curved spacetimes.

Results vary with the parameters characterizing the cosmic string.

Abstract

In this paper we evaluate the Wightman functions associated with a massive quantum scalar field in de Sitter and anti-de Sitter spacetimes in the presence of a cosmic string. Having these functions we calculate the corresponding renormalized vacuum expectation values of the field squared and present the behavior of the contributions induced by the cosmic string as function of the proper distance to it for different values of the parameter which codify the presence of this linear topological defect.