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Higher Derivative Gravity from the Universal Renormalization Group Machine

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arxiv 1111.1743 v2 pith:F2JKJ3EG submitted 2011-11-07 hep-th gr-qc

Higher Derivative Gravity from the Universal Renormalization Group Machine

classification hep-th gr-qc
keywords grouprenormalizationuniversalbeta-functionsderivativeequationflowgravity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group machine, for solving the flow equation, all the universal features of the one-loop beta-functions are recovered. While the universal part of the beta-functions admits two fixed points, we explicitly show that the existence of one of them depends on the choice of regularization scheme, indicating that it is most probably unphysical.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    Spectral functions for graviton and scalar graviton modes are derived in Lorentzian asymptotically safe quantum gravity via adapted FRG flow equations, yielding normalisable results consistent with infrared effective theory.

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    Asymptotically safe gravitational form factors are obtained by integrating the proper-time flow to k=0; finite cutoff-independent results with 1/q² UV decay require selecting the non-Gaussian fixed point as UV boundar...

  3. Towards theory constraints on ultralight dark matter from quantum gravity

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    In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.