Polarized vector bosons on the de Sitter expanding universe

TL;DR

This paper develops a canonical quantum theory for polarized vector bosons in de Sitter spacetime, introducing new mode functions and propagators that extend previous scalar, Dirac, and Maxwell field results.

Contribution

It presents a new complete set of quantum modes for vector fields in de Sitter space and derives associated propagators with a different structure from prior work.

Findings

New vector propagators satisfying similar equations as previous models.

Canonical quantization yields properties akin to scalar, Dirac, and Maxwell fields.

Provides a framework for analyzing polarized vector bosons in an expanding universe.

Abstract

The quantum theory of the vector field minimally coupled to the gravity of the de Sitter spacetime is built in a canonical manner starting with a new complete set of quantum modes of given momentum and helicity derived in the moving chart of conformal time. It is shown that the canonical quantization leads to new vector propagators which satisfy similar equations as the propagators derived by Tsamis and Woodard [{\em J.Math.Phys.} {\bf 48} (2007) 052306] but having a different structure. The one-particle operators are also written down pointing out that their properties are similar with those found already in the quantum theory of the scalar, Dirac and Maxwell free fields.