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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2013
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| Online Zugang: | 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 |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862647454925586432 |
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| author | Colosi, D. Rätzel, D. |
| author_facet | Colosi, D. Rätzel, D. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-01T13:28:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149226 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T13:28:26Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | The Unruh Effect in General Boundary Quantum Field Theory Colosi, D. Rätzel, D. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149226 |
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