Asymptotic safety in gravity and sigma models

Abstract

There are deep analogies between Einstein's theory of gravity and the nonlinear sigma models. It is suggested that these similarities may extend also to the ultraviolet behaviour, in the sense that both theories could turn out to be asymptotically safe.

Talk given at International Workshop on Continuum and Lattice Approaches to Quantum Gravity, Brighton, United Kingdom, 17-19 Sep 08. To appear in PoS

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