Quantum Linear Gravity in de Sitter Universe On Gupta-Bleuler vacuum state

TL;DR

This paper applies Krein space quantization to linear gravity in de Sitter space, resolving infrared divergences and ensuring a unique, covariant vacuum state, advancing quantum gravity research in curved spacetime.

Contribution

It introduces Krein space quantization for linear gravity in de Sitter space, eliminating infrared divergences and establishing a unique, covariant vacuum state.

Findings

Infrared divergence is removed using Krein space quantization.

The vacuum expectation value becomes well-defined and unique.

De Sitter covariance is preserved in the quantization process.

Abstract

Application of Krein space quantization to the linear gravity in de Sitter space-time have constructed on Gupta-Bleuler vacuum state, resulting in removal of infrared divergence and preserving de Sitter covariant. By pursuing this path, the non uniqueness of vacuum expectation value of the product of field operators in curved space-time disappears as well. Then the vacuum expectation value of the product of field operators can be defined properly and uniquely.