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TUW-00-02


The virtual black hole in 2d quantum gravity








D. Grumiller% latex2html id marker 2794 \setcounter{footnote}{1}\fnsymbol{footnote}, W. Kummer% latex2html id marker 2795 \setcounter{footnote}{2}\fnsymbol{footnote}, D. V. Vassilevich% latex2html id marker 2796 \setcounter{footnote}{3}\fnsymbol{footnote},







% latex2html id marker 2797 \setcounter{footnote}{1}\fnsymbol{footnote}% latex2html id marker 2798 \setcounter{footnote}{2}\fnsymbol{footnote}Institut für Theoretische Physik
Technische Universität Wien
Wiedner Hauptstr. 8-10, A-1040 Wien, Austria


% latex2html id marker 2799 \setcounter{footnote}{3}\fnsymbol{footnote}Institut für Theoretische Physik
Universität Leipzig, Augustusplatz 10, D-04109 Leipzig,
Germany








Abstract:

As shown recently (W. Kummer, H. Liebl, D.V. Vassilevich, Nucl. Phys. B 544, 403 (1999)) 2d quantum gravity theories -- including spherically reduced Einstein-gravity -- after an exact path integral of its geometric part can be treated perturbatively in the loops of (scalar) matter. Obviously the classical mechanism of black hole formation should be contained in the tree approximation of the theory. This is shown to be the case for the scattering of two scalars through an intermediate state which by its effective black hole mass is identified as a ``virtual black hole''. The present discussion is restricted to minimally coupled scalars without and with mass. In the first case the probability amplitude diverges, except the black hole is ``plugged'' by a suitable boundary condition. For massive scalars a finite S-matrix element is obtained.

PACS numbers: 04.60.Kz, 04.70.Dy


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Next: Introduction
Daniel Grumiller
2000-05-23