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Semiclassical thermodynamics of scalar fields
We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time, with spatially independent boundary conditions. Field fluctua...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2007
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1088/1126-6708/2007/08/007 http://cds.cern.ch/record/1034216 |
_version_ | 1780912386134245376 |
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author | Bessa, A. de Carvalho, C.A.A. Fraga, E.S. Gelis, F. |
author_facet | Bessa, A. de Carvalho, C.A.A. Fraga, E.S. Gelis, F. |
author_sort | Bessa, A. |
collection | CERN |
description | We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time, with spatially independent boundary conditions. Field fluctuations -- both field deviations around these classical solutions, and fluctuations of the boundary value of the fields -- are resummed in a Gaussian approximation. In our final expression for the partition function, this resummation is reduced to solving certain ordinary differential equations. Moreover, we show that it is renormalizable with the usual 1-loop counterterms. |
id | cern-1034216 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2007 |
record_format | invenio |
spelling | cern-10342162023-10-04T08:57:18Zdoi:10.1088/1126-6708/2007/08/007http://cds.cern.ch/record/1034216engBessa, A.de Carvalho, C.A.A.Fraga, E.S.Gelis, F.Semiclassical thermodynamics of scalar fieldsParticle Physics - PhenomenologyWe present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time, with spatially independent boundary conditions. Field fluctuations -- both field deviations around these classical solutions, and fluctuations of the boundary value of the fields -- are resummed in a Gaussian approximation. In our final expression for the partition function, this resummation is reduced to solving certain ordinary differential equations. Moreover, we show that it is renormalizable with the usual 1-loop counterterms.We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time, with spatially independent boundary conditions. Field fluctuations -- both field deviations around these classical solutions, and fluctuations of the boundary value of the fields -- are resummed in a Gaussian approximation. In our final expression for the partition function, this resummation is reduced to solving certain ordinary differential equations. Moreover, we show that it is renormalizable with the usual 1-loop counterterms.arXiv:0705.1531CERN-PH-TH-2007-076CERN-PH-TH-2007-076oai:cds.cern.ch:10342162007-05-11 |
spellingShingle | Particle Physics - Phenomenology Bessa, A. de Carvalho, C.A.A. Fraga, E.S. Gelis, F. Semiclassical thermodynamics of scalar fields |
title | Semiclassical thermodynamics of scalar fields |
title_full | Semiclassical thermodynamics of scalar fields |
title_fullStr | Semiclassical thermodynamics of scalar fields |
title_full_unstemmed | Semiclassical thermodynamics of scalar fields |
title_short | Semiclassical thermodynamics of scalar fields |
title_sort | semiclassical thermodynamics of scalar fields |
topic | Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1088/1126-6708/2007/08/007 http://cds.cern.ch/record/1034216 |
work_keys_str_mv | AT bessaa semiclassicalthermodynamicsofscalarfields AT decarvalhocaa semiclassicalthermodynamicsofscalarfields AT fragaes semiclassicalthermodynamicsofscalarfields AT gelisf semiclassicalthermodynamicsofscalarfields |