Is quantum Einstein gravity nonperturbatively renormalizable

By O. Lauscher, Martin Reuter. 2001

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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 cut-off limit. The truncation ansatz includes the Einstein–Hilbert action and a higher derivative term.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1091409b612f255dc01cfe1b3ddcf878a6788051

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

The Asymptotic Safety Scenario in Quantum Gravity (2006, background): “25) to it, the Einstein–Hilbert truncation produces almost the same results as the R(2) truncations [131, 132].”