Chapter

Covariant approaches to quantum gravity

Claus Kiefer

in Quantum Gravity

Published in print April 2012 | ISBN: 9780199585205
Published online May 2012 | e-ISBN: 9780191739378 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199585205.003.0002

Series: International Series of Monographs on Physics

Covariant approaches to quantum gravity

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This chapter introduces the important concept of the graviton. It discusses at some length linearized quantum gravity and its implications. A central role is played by path-integral quantization from which the Feynman rules needed for perturbation theory are derived. The perturbative non-renormalizability is discussed, and the derivation of the semiclassical Einstein equations is presented in detail. Further sections deal with topical issues such as asymptotic safety, dynamical triangulation, and supergravity.

Keywords: Gravitons; linear quantum gravity; path integrals; non-renormalizability; effective action; Feynman rules; semiclassical Einstein equations; asymptotic safety; dynamical triangulation; supergravity

Chapter.  25949 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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