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Quantum GravityThird Edition$
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Claus Kiefer

Print publication date: 2012

Print ISBN-13: 9780199585205

Published to Oxford Scholarship Online: May 2012

DOI: 10.1093/acprof:oso/9780199585205.001.0001

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Covariant approaches to quantum gravity

Covariant approaches to quantum gravity

Chapter:
(p.28) 2 Covariant approaches to quantum gravity
Source:
Quantum Gravity
Author(s):

Claus Kiefer

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199585205.003.0002

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

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