Finite Temperature Dilaton Gravity

TL;DR

This paper calculates the finite temperature free energy density in dilaton gravity using real-time finite temperature field theory, providing thermal corrections to the $\alpha'$-modified Einstein gravity action.

Contribution

It introduces a method to compute the dilaton free energy density at finite temperature and derives thermal corrections to the modified gravity action.

Findings

Derived the free energy density in external static gravitational fields.

Computed thermal corrections to the $\alpha'$-modified Einstein gravity.

Used real-time finite temperature field theory formulation.

Abstract

The dilaton free energy density in external static gravitational field is found. We use the real time formulation of the finite temperature field theory and the free energy density is computed to the first order of the string parameter $\alpha '$. We obtain the thermal corrections to the $\alpha'$ modified Einstein gravity action.