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Asymptotic Safety in Quantum Einstein Gravity: Nonperturbative Renormalizability and Fractal Spacetime Structure

  • Oliver Lauscher
  • Martin Reuter
Chapter

Abstract

The asymptotic safety scenario of Quantum Einstein Gravity, the quantum field theory of the spacetime metric, is reviewed and it is argued that the theory is likely to be nonperturbatively renormalizable. It is also shown that asymptotic safety implies that spacetime is a fractal in general, with a fractal dimension of 2 on sub-Planckian length scales.

Keywords

Quantum Einstein gravity renormalization group non-Gaussian fixed points fractal spacetime asymptotic safety 
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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2006

Authors and Affiliations

  • Oliver Lauscher
    • 1
  • Martin Reuter
    • 2
  1. 1.Institute of Theoretical PhysicsUniversity of LeipzigLeipzigGermany
  2. 2.Institute of PhysicsUniversity of MainzMainzGermany

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