Thermodynamics of bosonic systems in adS spacetime

TL;DR

This paper investigates the thermodynamics of massless bosonic fields in anti-de Sitter spacetime, deriving energy spectra and thermodynamic properties using a unified quantization framework and effective volume concept.

Contribution

It introduces a unified approach to quantize scalar, electromagnetic, and gravitational fields in AdS spacetime and develops a thermodynamic framework based on an effective volume.

Findings

Partition functions for bosonic gases in AdS are constructed.

Thermodynamic quantities like entropy and specific heat are derived.

General thermodynamic behavior of bosonic systems in AdS is analyzed.

Abstract

We analyze the thermodynamics of massless bosonic systems in D-dimensional anti-de Sitter spacetime, considering scalar, electromagnetic, and gravitational fields. Their dynamics are described by Poschl-Teller effective potentials and quantized in a unified framework, with the determination of the associated energy spectra. From the microscopic description developed, a macroscopic thermodynamic treatment is proposed, where an effective volume in anti-de Sitter geometry is defined and a suitable thermodynamic limit is considered. Partition functions are constructed for the bosonic gases, allowing the determination of several thermodynamic quantities of interest. With the obtained results, general aspects of the thermodynamics are explored.