Tunneling/WKB and anomaly methods for Rindler and de sitter space-times

We consider the WKB/tunneling method explicitly in the context of its application to the Rindler and de Sitter space-times. We also present two gravitational anomaly methods (consistent and covariant). The anomaly methods applied to the Rindler space-time do not reproduce the expected Unruh radiatio...

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Bibliographic Details
Published in:Theoretical and mathematical physics 2010-06, Vol.163 (3), p.774-781
Main Authors: Akhmedova, V. E., Pilling, T., de Gill, A., Singleton, D.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
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Summary:We consider the WKB/tunneling method explicitly in the context of its application to the Rindler and de Sitter space-times. We also present two gravitational anomaly methods (consistent and covariant). The anomaly methods applied to the Rindler space-time do not reproduce the expected Unruh radiation, because the Rindler space-time does not have an anomaly. The consistent and the covariant anomaly methods give different results for the de Sitter space-time. In contrast to them, the WKB/tunneling method is a semiclassical calculation in which the radiation is regarded as a tunneling of quantum fields across the horizon. The tunneling method is applicable in all the indicated cases. But to recover the correct Gibbons-Hawking temperature, a previously overlooked temporal piece that contributes to the total action must be taken into account.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-010-0061-z