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Phys. Rev. D 60, 084021 (1999) [8 pages]

Effective action and Hawking radiation for dilaton coupled scalars in two dimensions

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W. Kummer*
Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstrasse 8–10, A-1040 Wien, Austria

D. V. Vassilevich†
Erwin Schrödinger International Institute for Mathematical Physics, Boltzmanngasse 9, A-1090 Wien, Austria
Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10, D-04109 Leipzig, Germany

Received 11 November 1998; published 27 September 1999

The effective one-loop action for general dilaton theories with an arbitrary dilaton-dependent measure and nonminimal coupling to scalar matter is computed. As an application we determine the Hawking flux to infinity from black holes in D dimensions. We resolve the recently resurrected problem of an apparent negative flux for nonminimally coupled scalars: For any D>~4 black hole the complete flux turns out to be precisely the one of minimal coupling. This result is obtained from a Christensen-Fulling type argument involving the (non)conservation of energy-momentum. It is compared with approaches using the effective action.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.084021
DOI:
10.1103/PhysRevD.60.084021
PACS:
04.70.Dy, 04.62.+v

*E-mail address: wkummer@tph.tuwien.ac.at

†On leave from Department of Theoretical Physics, St. Petersburg University, 198904 St. Petersburg, Russia. E-mail address: Dmitiri.Vassilevich@itp.uni-leipzig.de

 
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