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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149226 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
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nasplib_isofts_kiev_ua-123456789-149226 |
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Colosi, D. Rätzel, D. 2019-02-19T19:01:33Z 2019-02-19T19:01:33Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/149226 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. The authors thank Robert Oeckl for very helpful discussions and remarks. The authors also thank the anonymous referees which gave a relevant contribution to improve the paper. Part of this work was done during a research stay of DR at the UNAM Campus Morelia funded by CONACYT grant 49093. The work of DR has been supported by the International Max Planck Research School for Geometric Analysis, Gravitation and String Theory. The work of DC has been supported in part by UNAM–DGAPA–PAPIIT through project grant IN100212. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Unruh Effect in General Boundary Quantum Field Theory Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
The Unruh Effect in General Boundary Quantum Field Theory |
| spellingShingle |
The Unruh Effect in General Boundary Quantum Field Theory Colosi, D. Rätzel, D. |
| 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 |
| author |
Colosi, D. Rätzel, D. |
| author_facet |
Colosi, D. Rätzel, D. |
| publishDate |
2013 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
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