Infinities in Quantum Gravities

Details Infinities in Quantum Gravities Infinities in Quantum Gravities

1999-11-19

arxiv.org/abs/gr-qc/9911073v1

AnnalenPhys.9:299-307,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages. Plenary lecture at Journees Relativistes 1999

Scientific paper

10.1002/(SICI)1521-3889(200005)9

We first present a review, intended for classical relativists, of the ultraviolet difficulties faced by local quantum gravity theories in both the usual Einstein versions and in their supergravity extensions, at least perturbatively. These problems, present in arbitrary dimensions, are traceable to the dimensionality of the Einstein constant. We then summarize very recent results about supergravity at the highest allowed dimension, D=11, showing that also this unique model suffers from infinities already at 2 loops, despite its high degree of supersymmetry. The conclusion is that there is no viable nonghost quantum field model that includes general relativity.

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