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Proper time flow equation for gravity

Alfio Bonanno et al JHEP02(2005)035   doi: 10.1088/1126-6708/2005/02/035  Help

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Alfio Bonanno1,2 and Martin Reuter3
1 INAF - Osservatorio Astrofisico di Catania, Via S. Sofia 78, I-95123 Catania, Italy
2 INFN, Via S. Sofia 64, I-95123 Catania, Italy
3 Institute of Physics, University of Mainz, Staudingerweg 7, D-55099 Mainz, Germany
E-mail: abo@ct.astro.it

Abstract. We analyze a proper time renormalization group equation for Quantum Einstein Gravity in the Einstein-Hilbert truncation and compare its predictions to those of the conceptually different exact renormalization group equation of the effective average action. We employ a smooth infrared regulator of a special type which is known to give rise to extremely precise critical exponents in scalar theories. We find perfect consistency between the proper time and the average action renormalization group equations. In particular the proper time equation, too, predicts the existence of a non-gaussian fixed point as it is necessary for the conjectured nonperturbative renormalizability of Quantum Einstein Gravity.

Key words: Renormalization Group; Models of Quantum Gravity; Nonperturbative Effects

E-print number: hep-th/0410191
Cited: by
Refers: to

Received 20 October 2004, accepted for publication 10 February 2005
Published 15 March 2005

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