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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
12/2004

The current status of quantum fields in curved spacetime (Transparencies of a talk given at DPG meeting, Ulm, 17 March 2004)

Rainer Verch

Abstract

This contribution consists of the transparencies of a plenary lecture delivered by the author at the annual meeting of the Deutsche Physikalische Gesellschaft at Ulm, Germany, on 17 March 2004.

In this talk, I will report on the developments in quantum field theory in curved spacetime which, during the past 10 years, have led to impressive progress. These developments are centered around concepts like the microlocal spectrum condition, quantum energy inequalities and local general covariance. With the help of these concepts, it has been possible to formulate and complete the renormalization program of perturbative quantum field theory on generic spacetime backgrounds, and to arrive at stron structural theorems like PCT and the connection between spin and statistics. Furthermoire, some insight into the qualitative behavior of semiclassical gravity has been gained, showing that the occurrence of exotic spacetime scenarios, e.g. closed timelike curves, is suppressed by the dynamical stability of quantum fields.

Received:
Mar 22, 2004
Published:
Mar 22, 2004
MSC Codes:
81T20
Keywords:
quantum fields in curved spacetime, microlocal analysis, renormalization, general covariance

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Preprint
2004 Repository Open Access
Rainer Verch

The current status of quantum fields in curved spacetime (transparencies of a talk given at DPG meeting, Ulm, 17 March 2004)