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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

(p.28) 2 Covariant approaches to quantum gravity
Quantum Gravity

Claus Kiefer

Oxford University Press

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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