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: Dennis Rätzel, Daniele Colosi
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2013-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
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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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
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