Derivative expansion for the electromagnetic Casimir free energy at high temperatures
We study the contribution of the thermal zero modes to the Casimir free energy in the case of a fluctuating electromagnetic (EM) field in the presence of real materials described by frequency-dependent, local and isotropic permittivity (ε) and permeability (μ) functions. Those zero modes, present at...
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todo:paper_15507998_v92_n12_p_Fosco2023-10-03T16:25:13Z Derivative expansion for the electromagnetic Casimir free energy at high temperatures Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. We study the contribution of the thermal zero modes to the Casimir free energy in the case of a fluctuating electromagnetic (EM) field in the presence of real materials described by frequency-dependent, local and isotropic permittivity (ε) and permeability (μ) functions. Those zero modes, present at any finite temperature, become dominant at high temperatures since the theory is dimensionally reduced. Our work, within the context of the derivative expansion (DE) approach, focuses on the emergence of nonanalyticities in that dimensionally reduced theory. We conclude that the DE is well defined whenever the function Ω(ω), defined by [Ω(ω)]2≡ω2ε(ω), vanishes in the zero-frequency limit for at least one of the two material media involved. © 2015 American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v92_n12_p_Fosco |
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Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We study the contribution of the thermal zero modes to the Casimir free energy in the case of a fluctuating electromagnetic (EM) field in the presence of real materials described by frequency-dependent, local and isotropic permittivity (ε) and permeability (μ) functions. Those zero modes, present at any finite temperature, become dominant at high temperatures since the theory is dimensionally reduced. Our work, within the context of the derivative expansion (DE) approach, focuses on the emergence of nonanalyticities in that dimensionally reduced theory. We conclude that the DE is well defined whenever the function Ω(ω), defined by [Ω(ω)]2≡ω2ε(ω), vanishes in the zero-frequency limit for at least one of the two material media involved. © 2015 American Physical Society. |
format |
JOUR |
author |
Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. |
spellingShingle |
Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. Derivative expansion for the electromagnetic Casimir free energy at high temperatures |
author_facet |
Fosco, C.D. Lombardo, F.C. Mazzitelli, F.D. |
author_sort |
Fosco, C.D. |
title |
Derivative expansion for the electromagnetic Casimir free energy at high temperatures |
title_short |
Derivative expansion for the electromagnetic Casimir free energy at high temperatures |
title_full |
Derivative expansion for the electromagnetic Casimir free energy at high temperatures |
title_fullStr |
Derivative expansion for the electromagnetic Casimir free energy at high temperatures |
title_full_unstemmed |
Derivative expansion for the electromagnetic Casimir free energy at high temperatures |
title_sort |
derivative expansion for the electromagnetic casimir free energy at high temperatures |
url |
http://hdl.handle.net/20.500.12110/paper_15507998_v92_n12_p_Fosco |
work_keys_str_mv |
AT foscocd derivativeexpansionfortheelectromagneticcasimirfreeenergyathightemperatures AT lombardofc derivativeexpansionfortheelectromagneticcasimirfreeenergyathightemperatures AT mazzitellifd derivativeexpansionfortheelectromagneticcasimirfreeenergyathightemperatures |
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1782028879739748352 |