Near-Hagedorn Thermodynamics and Random Walks: a General Formalism in Curved Backgrounds

TL;DR

This paper develops a general formalism for near-Hagedorn string thermodynamics in curved backgrounds, extending previous path integral results and validating them through comparisons with effective field theory and exact solutions.

Contribution

It introduces a comprehensive formalism for analyzing near-Hagedorn thermodynamics in curved spaces, extending prior path integral methods and incorporating correction terms from effective field theory.

Findings

Extended the path integral derivation of near-Hagedorn thermodynamics.

Validated the formalism by comparing with exact results.

Identified correction terms from low-energy effective field theory.

Abstract

In this paper we discuss near-Hagedorn string thermodynamics starting from the explicit path integral derivation recently found by JHEP 0607 (2006) 031. Their result is extended and the validity is checked by comparing with some known exact results. We compare this approach with the first-quantized one-loop result from the low energy effective field theory and establish correction terms to the above result.