Ground-state Wigner functional of linearized gravitational field

TL;DR

This paper applies deformation quantization to the linearized gravitational field, deriving the ground state Wigner functional and discussing the graviton propagator within this framework.

Contribution

It introduces a novel application of deformation quantization to linearized gravity, providing explicit forms of the ground state Wigner functional and graviton propagator.

Findings

Derived the ground state Wigner functional for linearized gravity

Analyzed the graviton propagator within the deformation quantization formalism

Extended the formalism to include standard aspects of linearized gravitational fields

Abstract

The deformation quantization formalism is applied to the linearized gravitational field. Standard aspects of this formalism are worked out before the ground state Wigner functional is obtained. Finally, the propagator for the graviton is also discussed within the context of this formalism.