The renormalization group in perturbative quantum gravity
Keyword(s):
This is a short chapter summarizing the main results concerning the renormalization group in models of pure quantum gravity, without matter fields. The chapter starts with a critical analysis of non-perturbative renormalization group approaches, such as the asymptotic safety hypothesis. After that, it presents solid one-loop results based on the minimal subtraction scheme in the one-loop approximation. The polynomial models that are briefly reviewed include the on-shell renormalization group in quantum general relativity, and renormalization group equations in fourth-derivative quantum gravity and superrenormalizable models. Special attention is paid to the gauge-fixing dependence of the renormalization group trajectories.
2012 ◽
Vol 27
(13)
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pp. 1250075
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Keyword(s):
2018 ◽
Vol 33
(26)
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pp. 1830024
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1996 ◽
Vol 11
(16)
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pp. 2823-2834
1994 ◽
Vol 09
(32)
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pp. 5689-5709
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1990 ◽
Vol 05
(20)
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pp. 1599-1604
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2006 ◽
Vol 632
(4)
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pp. 571-578
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