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arxiv: 1111.1743 · v2 · pith:F2JKJ3EGnew · 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
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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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