2012
DOI: 10.48550/arxiv.1209.3511
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The effective field theory treatment of quantum gravity

John F. Donoghue

Abstract: This is a pedagogical introduction to the treatment of quantum general relativity as an effective field theory. It starts with an overview of the methods of effective field theory and includes an explicit example. Quantum general relativity matches this framework and I discuss gravitational examples as well as the limits of the effective field theory. I also discuss the insights from effective field theory on the gravitational effects on running couplings in the perturbative regime.

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Cited by 19 publications
(35 citation statements)
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References 23 publications
(43 reference statements)
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“…In order to correctly compute the correlation function it is necessary to consider modes of arbitrarily high frequencies. This is exactly what one expects when working with an effective field theory [21]. Unless this is done ultraviolet cutoff effects dominate the structure of the correlation function.…”
Section: Discussionsupporting
confidence: 69%
“…In order to correctly compute the correlation function it is necessary to consider modes of arbitrarily high frequencies. This is exactly what one expects when working with an effective field theory [21]. Unless this is done ultraviolet cutoff effects dominate the structure of the correlation function.…”
Section: Discussionsupporting
confidence: 69%
“…If c 4 = 0 we can take the background geometry to be flat space, § allowing us to expand the metric around * Not all such terms need be independent of one another, making it useful in practice to identify a minimal basis of interactions of each dimension. For some reviews of gravity formulated as an EFT, see [19,336,337]. † Notice that these arguments indicate that for practical applications c (d,k) is almost certainly not of order M d Pl when d < 0, unlike the choice often made.…”
Section: General Relativity and Quantum Mechanics: An Effective Field...mentioning
confidence: 99%
“…As shown in [19,336,337] in some detail, the contribution to this amplitude of an L-loop Feynman graph built using V i,r vertices built from a term in S eff involving r powers of the curvature tensor, involving the emission or absorption of i gravitons, is of order…”
Section: General Relativity and Quantum Mechanics: An Effective Field...mentioning
confidence: 99%
“…For q R = 1, the transposed matrix has a block-diagonal structure and the eigenvalues could be given analytically. 1 To have a well-defined states like (46) and effective quantum field theory in de Sitter space, the modes with the largest values of k must be chosen leads to a 4th order adiabatic state [53].…”
Section: B Bosonic Entanglementmentioning
confidence: 99%