Contributions to the Study of Thermal States of the Bosonic String in the TFD Formalism

TL;DR

This paper investigates the thermal properties of bosonic strings under various boundary conditions, deriving entropy and free energy in different spacetime backgrounds using the TFD formalism.

Contribution

It extends the thermal string formalism to include general boundary conditions and curved spacetime backgrounds within the TFD approach.

Findings

Derived local entropy and free energy for open bosonic strings in Minkowski space.

Formulated a finite temperature theory for closed strings in anti-de Sitter space.

Obtained explicit expressions for thermal states, entropy, and free energy in semiclassical approximation.

Abstract

We determine the local entropy of the free energy of the quantized open bosonic string in Minkowski spacetime with the most general boundary conditions. We formulate a finite temperature theory of the thermal closed string excitations in anti-de Sitter spacetime within the TFD approach. We write down the thermal states and obtain the entropy and the free energy in the first order expansion of the semiclassical quantization in the center of mass reference frame.