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The Unruh Effect in General Boundary Quantum Field Theory

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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Main Authors: Colosi, D., Rätzel, D.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149226
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spelling irk-123456789-1492262019-02-20T01:28:56Z The Unruh Effect in General Boundary Quantum Field Theory Colosi, D. Rätzel, D. 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. 2013 Article The Unruh Effect in General Boundary Quantum Field Theory / D. Colosi, D. Rätzel // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 47 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81T20 DOI: http://dx.doi.org/10.3842/SIGMA.2013.019 http://dspace.nbuv.gov.ua/handle/123456789/149226 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
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.
format Article
author Colosi, D.
Rätzel, D.
spellingShingle Colosi, D.
Rätzel, D.
The Unruh Effect in General Boundary Quantum Field Theory
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Colosi, D.
Rätzel, D.
author_sort Colosi, D.
title The Unruh Effect in General Boundary Quantum Field Theory
title_short 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_sort unruh effect in general boundary quantum field theory
publisher Інститут математики НАН України
publishDate 2013
url http://dspace.nbuv.gov.ua/handle/123456789/149226
citation_txt The Unruh Effect in General Boundary Quantum Field Theory / D. Colosi, D. Rätzel // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 47 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT colosid theunruheffectingeneralboundaryquantumfieldtheory
AT ratzeld theunruheffectingeneralboundaryquantumfieldtheory
AT colosid unruheffectingeneralboundaryquantumfieldtheory
AT ratzeld unruheffectingeneralboundaryquantumfieldtheory
first_indexed 2023-05-20T17:32:16Z
last_indexed 2023-05-20T17:32:16Z
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