Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes: Two-point functions and renormalized stress-energy tensors

TL;DR

This paper constructs two-point functions and computes the renormalized stress-energy tensor for Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes, providing exact analytical results for these quantum fields.

Contribution

It provides the first explicit construction of two-point functions and exact analytical expressions for the stress-energy tensor in these curved spacetimes.

Findings

Explicit two-point functions in de Sitter and anti-de Sitter

Exact analytical vacuum expectation values of stress-energy tensor

Application of Hadamard states formalism to massive vector fields

Abstract

By considering Hadamard vacuum states, we first construct the two-point functions associated with Stueckelberg massive electromagnetism in de Sitter and anti-de Sitter spacetimes. Then, from the general formalism developed in [A. Belokogne and A. Folacci, Phys. Rev. D \textbf{93}, 044063 (2016)], we obtain an exact analytical expression for the vacuum expectation value of the renormalized stress-energy tensor of the massive vector field propagating in these maximally symmetric spacetimes.