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marcus

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## Main Question or Discussion Point

Benedetti Groh Machado Saueressig have (what will probably turn out to be) a landmark paper where they show the Renormalization Group Flow treatment of gravity is

We already saw mounting evidence of a UV fixed point with finite dimensional attractive surface. The term often used is that gravity is

The leading researchers involved (Weinberg Percacci Reuter...) refer to this as

http://arxiv.org/abs/1012.3081

Dario Benedetti, Kai Groh, Pedro F. Machado, Frank Saueressig

38 pages

(Submitted on 14 Dec 2010)

"Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion...

... In a first illustrative example, we re-derive the gravitational beta-functions of the Einstein-Hilbert truncation, demonstrating their background-independence. As an additional result, the heat-kernel coefficients for transverse vectors and transverse-traceless symmetric matrices are computed to second order in the curvature."

**background independent**.We already saw mounting evidence of a UV fixed point with finite dimensional attractive surface. The term often used is that gravity is

**non-perturbatively renormalizable**because the theory is predictive to arbitrary high energy once a finite number (like 3) parameters are determined. The BGMS algorithm that they present in the paper will help confirm or falsify that.The leading researchers involved (Weinberg Percacci Reuter...) refer to this as

**nonperturbative**renormalizability because the theory cannot be developed by perturbing around flat space zero gravity---you have to shift over to the UV fixed point. Otherwise it behaves as you expect and does what a renormalizable theory is supposed to do.http://arxiv.org/abs/1012.3081

**The Universal RG Machine**Dario Benedetti, Kai Groh, Pedro F. Machado, Frank Saueressig

38 pages

(Submitted on 14 Dec 2010)

"Functional Renormalization Group Equations constitute a powerful tool to encode the perturbative and non-perturbative properties of a physical system. We present an algorithm to systematically compute the expansion...

... In a first illustrative example, we re-derive the gravitational beta-functions of the Einstein-Hilbert truncation, demonstrating their background-independence. As an additional result, the heat-kernel coefficients for transverse vectors and transverse-traceless symmetric matrices are computed to second order in the curvature."

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