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MP: Theoretische und Mathematische Grundlagen der Physik

MP 13: Quantenfeldtheorie: Renormierungs-Gruppen Methoden u.ä.

MP 13.4: Fachvortrag

Monday, March 18, 2002, 15:00–15:20, HS 18

Is Quantum Einstein Gravity Nonperturbatively renormalizable? — •Oliver Lauscher and Martin Reuter — Institut für Physik, Universität Mainz, Staudingerweg 7, 55099 Mainz

We find considerable evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity is “asymptotically safe” in Weinberg’s sense. This would mean that the theory is likely to be nonperturbatively renormalizable and thus could be considered a fundamental (rather than merely effective) theory which is mathematically consistent and predictive down to arbitrarily small length scales. For a truncated version of the exact flow equation of the effective average action we establish the existence of a non-Gaussian renormalization group fixed point which is suitable for the construction of a nonperturbative infinite cutoff-limit. The truncation ansatz includes the Einstein-Hilbert action and a higher derivative term.