The Unruh Effect in General Boundary Quantum Field Theory
In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler space. This coincidence could be seen as a consequence of the identification of th...
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Format: | Article |
Language: | English |
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National Academy of Science of Ukraine
2013-03-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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Online Access: | http://dx.doi.org/10.3842/SIGMA.2013.019 |
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author | Dennis Rätzel Daniele Colosi |
author_facet | Dennis Rätzel Daniele Colosi |
author_sort | Dennis Rätzel |
collection | DOAJ |
description | In the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler space. This coincidence could be seen as a consequence of the identification of the Minkowski vacuum as a thermal state in Rindler space usually associated with the Unruh effect. However, we underline the difficulty in making this identification in the GBF. Beside the Feynman quantization prescription for observables that we use to derive the coincidence of expectation values, we investigate an alternative quantization prescription called Berezin-Toeplitz quantization prescription, and we find that the coincidence of expectation values does not exist for the latter. |
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format | Article |
id | doaj.art-f7a01a735ba64b63aa61bdedf938b497 |
institution | Directory Open Access Journal |
issn | 1815-0659 |
language | English |
last_indexed | 2024-12-23T14:28:57Z |
publishDate | 2013-03-01 |
publisher | National Academy of Science of Ukraine |
record_format | Article |
series | Symmetry, Integrability and Geometry: Methods and Applications |
spelling | doaj.art-f7a01a735ba64b63aa61bdedf938b4972022-12-21T17:43:34ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592013-03-019019The Unruh Effect in General Boundary Quantum Field TheoryDennis RätzelDaniele ColosiIn the framework of the general boundary formulation (GBF) of scalar quantum field theory we obtain a coincidence of expectation values of local observables in the Minkowski vacuum and in a particular state in Rindler space. This coincidence could be seen as a consequence of the identification of the Minkowski vacuum as a thermal state in Rindler space usually associated with the Unruh effect. However, we underline the difficulty in making this identification in the GBF. Beside the Feynman quantization prescription for observables that we use to derive the coincidence of expectation values, we investigate an alternative quantization prescription called Berezin-Toeplitz quantization prescription, and we find that the coincidence of expectation values does not exist for the latter.http://dx.doi.org/10.3842/SIGMA.2013.019quantum field theoryUnruh effectgeneral boundary formulation |
spellingShingle | Dennis Rätzel Daniele Colosi The Unruh Effect in General Boundary Quantum Field Theory Symmetry, Integrability and Geometry: Methods and Applications quantum field theory Unruh effect general boundary formulation |
title | The Unruh Effect in General Boundary Quantum Field Theory |
title_full | The Unruh Effect in General Boundary Quantum Field Theory |
title_fullStr | The Unruh Effect in General Boundary Quantum Field Theory |
title_full_unstemmed | The Unruh Effect in General Boundary Quantum Field Theory |
title_short | The Unruh Effect in General Boundary Quantum Field Theory |
title_sort | unruh effect in general boundary quantum field theory |
topic | quantum field theory Unruh effect general boundary formulation |
url | http://dx.doi.org/10.3842/SIGMA.2013.019 |
work_keys_str_mv | AT dennisratzel theunruheffectingeneralboundaryquantumfieldtheory AT danielecolosi theunruheffectingeneralboundaryquantumfieldtheory AT dennisratzel unruheffectingeneralboundaryquantumfieldtheory AT danielecolosi unruheffectingeneralboundaryquantumfieldtheory |