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

2007

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.

PhysicsPhysics::General PhysicsQuantum field theory in curved spacetimeAsymptotic safety in quantum gravityCausal setsStationary spacetimeHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyClassical mechanicsLinearized gravityQuantum gravityBackground independenceMathematical physicsFractal cosmology
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