Thermal field theories coupled to curved spacetime

TL;DR

This paper extends thermal field theory to curved spacetime using Riemann-normal coordinates, enabling the study of astrophysical and cosmological phenomena where spacetime curvature influences thermal properties.

Contribution

It introduces a method to formulate thermal field theory in curved spacetime and calculates curvature corrections to thermodynamic observables.

Findings

Curvature corrections to thermodynamic quantities are explicitly calculated.

The framework allows for analyzing thermal phenomena in astrophysical and cosmological contexts.

Extension of thermal field theory to curved spacetime is systematically developed.

Abstract

Thermal field theory is an essential tool for comprehending various physical phenomena, including astrophysical objects such as neutron stars and white dwarfs, as well as the early stages of the universe. Nonetheless, the traditional thermal field theory formulated in Minkowski spacetime is not capable of considering the effects originating from the curved spacetime. These effects are crucial for both astrophysical and cosmological observations, making it essential to extend the domain of thermal field theory to curved spacetimes. This article's primary focus is to explore the extension of thermal field theory to curved spacetimes and its implications. We employ Riemann-normal coordinates to describe thermal field theories in curved spacetime, and we also calculate several thermodynamic observables to demonstrate the curvature corrections explicitly.