Article

Fixed Points of Quantum Gravity and the Renormalisation Group

Proceedings of Science 10/2008;
Source: arXiv

ABSTRACT

We review the asymptotic safety scenario for quantum gravity and the role and implications of an underlying ultraviolet fixed point. We discuss renormalisation group techniques employed in the fixed point search, analyse the main picture at the example of the Einstein-Hilbert theory, and provide an overview of the key results in four and higher dimensions. We also compare findings with recent lattice simulations and evaluate phenomenological implications for collider experiments. Comment: 18 pages, 4 figures. Plenary talk. To appear in the proceedings of "From Quantum to Emergent Gravity: Theory and Phenomenology", June 11-15 2007, Trieste, Italy

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Available from: Daniel F. Litim, Sep 16, 2014
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    • "Therefore it is natural to inquire in those settings, what is the one-loop graviton correction to the running of gauge coupling? In [14] [15] however Functional renormalization group was used to study the problem in the spirit of asymptotic safety scenario [19] [20] [21] [22] [23]. Higher derivative gravity in four dimensions is perturbatively renormalizable to all loops [24], which has recently been shown to be unitary [25] [26]. "
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