Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-02-24
Phys.Rev.Lett.106:251302,2011
Physics
High Energy Physics
High Energy Physics - Theory
4 pages, 2 figures
Scientific paper
10.1103/PhysRevLett.106.251302
The gravitational asymptotic safety program strives for a consistent and predictive quantum theory of gravity based on a non-trivial ultraviolet fixed point of the renormalization group (RG) flow. We investigate this scenario by employing a novel functional renormalization group equation which takes the causal structure of space-time into account and connects the RG flows for Euclidean and Lorentzian signature by a Wick-rotation. Within the Einstein-Hilbert approximation, the $\beta$-functions of both signatures exhibit ultraviolet fixed points in agreement with asymptotic safety. Surprisingly, the two fixed points have strikingly similar characteristics, suggesting that Euclidean and Lorentzian quantum gravity belong to the same universality class at high energies.
Manrique Elisa
Rechenberger Stefan
Saueressig Frank
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