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RESEARCH PRODUCT
Asymptotically safe Lorentzian gravity.
Frank SaueressigElisa ManriqueStefan Rechenbergersubject
High Energy Physics - TheoryPhysicsAsymptotic safety in quantum gravityFOS: Physical sciencesGeneral Physics and AstronomyGeneral Relativity and Quantum Cosmology (gr-qc)Euclidean quantum gravityRenormalization groupGeneral Relativity and Quantum CosmologyRenormalizationGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Quantum mechanicsWick rotationQuantum gravityFunctional renormalization groupUltraviolet fixed pointMathematical physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-02-24 | Physical review letters |