2013

Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions

Ohta, Nobuyoshi, Percacci, Roberto

Understand

We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives.

The calculation is done in arbitrary dimension and on an arbitrary background.
The special cases of three, four, near four, five and six dimensions are discussed in some detail.
We find that the theories have nontrivial UV fixed points and are asymptotically safe in all dimensions we study.

Built on

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Then

E. A. Bergshoeff, O. Hohm and P. K. Townsend, “More on Massive 3D Gravity,” Phys. Rev. D 79 (2009) 124042, [arXiv:0905.1259 [hep-th]]
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D. Benedetti, P. F. Machado and F. Saueressig, “Asymptotic safety in higher-derivative gravity,” Mod. Phys. Lett. A 24
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2010
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R. Percacci and E. Sezgin, “One Loop Beta Functions in Topologically Massive Gravity,” Class. Quant. Grav. 27
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2010
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I. Gullu, T. C. Sisman and B. Tekin, “Canonical Structure of Higher Derivative Gravity in 3D, Phys. Rev. D 81 (2010) 104017 [arXiv:1002.3778 [hep-th]]
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2010
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K. Groh, S. Rechenberger, F. Saueressig and O. Zanusso, “Higher Derivative Gravity from the Universal Renormalization Group Machine,” PoS EPS -HEP2011
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2011
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N. Ohta, “A Complete Classification of Higher Derivative Gravity in 3D and Criticality in 4D,” Class. Quant. Grav. 29
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2012
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N. Ohta, “Beta Function and Asymptotic Safety in Three-dimensional Higher Derivative Gravity,” Class. Quant. Grav. 29
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2012
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D. Benedetti, “On the number of relevant operators in asymptotically safe gravity,” Europhys. Lett. 102
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2013
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K. Muneyuki and N. Ohta, “Unitarity versus Renormalizability of Higher Derivative Gravity in 3D,” Phys. Rev. D 85
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2058
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