Quantization of Yang-Mills Theory in de Sitter Spacetime

TL;DR

This paper investigates the quantization of Yang-Mills theory in de Sitter spacetime, addressing ghost propagator divergences and demonstrating consistent quantization methods in different gauges.

Contribution

It introduces an effective propagator to handle divergences and shows the equivalence of quantization in temporal and Lorentz gauges in de Sitter space.

Findings

Ghost propagator divergence is removed by an effective propagator.

Quantization in temporal gauge is consistent and equivalent to Lorentz gauge.

The approach ensures the consistency of Yang-Mills quantization in de Sitter spacetime.

Abstract

In this paper, we analyze the quantization of Yang-Mills theory in the de Sitter spacetime. It is observed that the Faddeev--Popov ghost propagator is divergent in this spacetime. However, this divergence is removed by using an effective propagator, which is suitable for perturbation theory. To show that the quantization of Yang--Mills theory in the de Sitter is consistent, we quantize it using first-class constraints in the temporal gauge. We also demonstrate that this is equivalent to quantizing the theory in the Lorentz gauge.