# Thermodynamics of bosonic systems in anti–de Sitter spacetime

Elias, Walace S. (Instituto Ciberespacial, Universidade Federal Rural da Amazônia, Avenida Presidente Tancredo Neves, 66077-901 Belém, Pará, Brazil) ; Molina, C. (Escola de Artes, Ciências e Humanidades, Universidade de São Paulo, Avenida Arlindo Bettio 1000, CEP 03828-000 São Paulo, São Paulo, Brazil) ; Baldiotti, M. C. (Departamento de Física, Universidade Estadual de Londrina, 86051-990 Londrina, Paraná, Brazil)

16 April 2019

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 Pöschl-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.

Published in: Physical Review D 99 (2019)