Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds

We analyze the finite temperature behaviour of massless conformally coupled scalar fields in homogeneous lens spaces S³/Zp. High and low temperature expansions are explicitly computed and the behavior of thermodynamic quantities under thermal duality is scrutinized. The analysis of the entropy in th...

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Autores principales: Asorey, Manuel, Beneventano, Carlota Gabriela, D'Ascanio, Daniela, Santángelo, Eve Mariel
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129290
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id I19-R120-10915-129290
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Thermal Field Theory
Anomalies in Field and String Theories
Discrete and Finite Symmetries
spellingShingle Física
Thermal Field Theory
Anomalies in Field and String Theories
Discrete and Finite Symmetries
Asorey, Manuel
Beneventano, Carlota Gabriela
D'Ascanio, Daniela
Santángelo, Eve Mariel
Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
topic_facet Física
Thermal Field Theory
Anomalies in Field and String Theories
Discrete and Finite Symmetries
description We analyze the finite temperature behaviour of massless conformally coupled scalar fields in homogeneous lens spaces S³/Zp. High and low temperature expansions are explicitly computed and the behavior of thermodynamic quantities under thermal duality is scrutinized. The analysis of the entropy in the high-temperature limit of the different lens spaces points out the appearance of a temperature-independent contribution of topological origin to the entropy. The remaining terms are exponentially suppressed by the temperature. The topological contribution to the entropy appears as a subleading correction to the Stefan-Boltzmann term of the free energy, and can be obtained from the determinant of the lens space conformal Laplacian operator. In the low-temperature limit the leading term in the free energy is the Casimir energy and there is no trace of any power correction in any lens space. In fact, the remaining corrections are always exponentially suppressed by the inverse of the temperature. The duality between the results of both expansions is further analyzed in the paper.
format Articulo
Preprint
author Asorey, Manuel
Beneventano, Carlota Gabriela
D'Ascanio, Daniela
Santángelo, Eve Mariel
author_facet Asorey, Manuel
Beneventano, Carlota Gabriela
D'Ascanio, Daniela
Santángelo, Eve Mariel
author_sort Asorey, Manuel
title Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
title_short Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
title_full Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
title_fullStr Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
title_full_unstemmed Thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
title_sort thermodynamics of conformal fields in topologically non-trivial space-time backgrounds
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/129290
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AT dascaniodaniela thermodynamicsofconformalfieldsintopologicallynontrivialspacetimebackgrounds
AT santangeloevemariel thermodynamicsofconformalfieldsintopologicallynontrivialspacetimebackgrounds
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