2026-04-29T16:00:08Zhttps://riubu.ubu.es/oai/requestoai:riubu.ubu.es:10259/100052025-01-24T01:05:26Zcom_10259.4_2557com_10259_5086com_10259_2604col_10259.4_2558
Bordag, Michael
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600
Muñoz Castañeda, José María
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600
Santamaría Sanz, Lucía
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600
2025-01-23T08:22:12Z
2025-01-23T08:22:12Z
2020-03
1434-6044
http://hdl.handle.net/10259/10005
10.1140/epjc/s10052-020-7783-3
1434-6052
The basic thermodynamic quantities for a non-interacting scalar field in a periodic potential composed of either a one-dimensional chain of Dirac δ − δ'
functions or a specific potential with extended compact support are calculated. First, we consider the representation in terms of real frequencies (or one-particle energies). Then we turn the axis of frequency integration towards the imaginary axis by a finite angle, which allows for easy numerical evaluation, and finally turn completely to the imaginary frequencies and derive the corresponding Matsubara representation, which this way appears also for systems with band structure. In the limit case T → 0
we confirm earlier results on the vacuum energy. We calculate for the mentioned examples the free energy and the entropy and generalize earlier results on negative entropy.
The authors are grateful to the Spanish GovernmentMINECO (MTM2014- 57129-C2-1-P) for the financial support received. JMMC and LSS are grateful to the Junta de Castilla y León (BU229P18, VA137G18 and VA057U16) for the financial support. LSS is grateful to the Spanish Government-MINECO for the FPU-fellowships programme (FPU18/00957).
application/pdf
eng
Springer
The European Physical Journal C. 2020, V. 80, n. 3
https://doi.org/10.1140/epjc/s10052-020-7783-3
Atribución 4.0 Internacional
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
Física
Physics
Free energy and entropy for finite temperature quantum field theory under the influence of periodic backgrounds
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
The European Physical Journal C
80
3
THUMBNAIL
Bordag-tepjc_2020.pdf.jpg
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https://riubu.ubu.es/bitstream/10259/10005/3/license.txt
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https://riubu.ubu.es/bitstream/10259/10005/2/license_rdf
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Bordag-tepjc_2020.pdf
Bordag-tepjc_2020.pdf
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https://riubu.ubu.es/bitstream/10259/10005/1/Bordag-tepjc_2020.pdf
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10259/10005
oai:riubu.ubu.es:10259/10005
2025-01-24 02:05:26.921
Repositorio Institucional de la Universidad de Burgos
bubrep@ubu.es
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