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kodama
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http://arxiv.org/abs/1609.04813
Quantum gravity on foliated spacetime - asymptotically safe and sound
Jorn Biemans, Alessia Platania, Frank Saueressig
(Submitted on 15 Sep 2016)
Asymptotic Safety provides a mechanism for constructing a consistent and predictive quantum theory of gravity valid on all length scales. Its key ingredient is a non-Gaussian fixed point of the gravitational renormalization group flow which controls the scaling of couplings and correlation functions at high energy. In this work we use a functional renormalization group equation adapted to the ADM-formalism for evaluating the gravitational renormalization group flow on a cosmological Friedmann-Robertson-Walker background. Besides possessing the UV-non-Gaussian fixed point characteristic for Asymptotic Safety the setting exhibits a second non-Gaussian fixed point with a positive Newton's constant and real critical exponents. The new fixed point alters the phase diagram in such a way that all renormalization group trajectories connected to classical general relativity are well-defined on all length scales. In particular a positive cosmological constant is dynamically driven to zero in the deep infrared. Moreover, the scaling dimensions associated with the universality classes emerging within the causal setting exhibit qualitative agreement with results found within the ϵ-expansion around two dimensions, Monte Carlo simulations based on Lattice Quantum Gravity, and the discretized Wheeler-deWitt equation.
Seems like Asymptotic safety in quantum gravity is making good progress, apparently progressing faster than either strings or loops, as a predictive theory. i.e prediction 126 gev higgs mass, 4 dimensions, no SUSY, etc. What are the implications if Asymptotic safety in quantum gravity is the final theory of quantum gravity?
Asymptotic safety in quantum gravity seems to avoid many of the issues of string theory reliance on higher dimensions and thus far unobserved supersymmetry. it also seems to avoid issues of LQG with semiclassical limit and lorentz invariance and coupling to SM QFT fields.
Quantum gravity on foliated spacetime - asymptotically safe and sound
Jorn Biemans, Alessia Platania, Frank Saueressig
(Submitted on 15 Sep 2016)
Asymptotic Safety provides a mechanism for constructing a consistent and predictive quantum theory of gravity valid on all length scales. Its key ingredient is a non-Gaussian fixed point of the gravitational renormalization group flow which controls the scaling of couplings and correlation functions at high energy. In this work we use a functional renormalization group equation adapted to the ADM-formalism for evaluating the gravitational renormalization group flow on a cosmological Friedmann-Robertson-Walker background. Besides possessing the UV-non-Gaussian fixed point characteristic for Asymptotic Safety the setting exhibits a second non-Gaussian fixed point with a positive Newton's constant and real critical exponents. The new fixed point alters the phase diagram in such a way that all renormalization group trajectories connected to classical general relativity are well-defined on all length scales. In particular a positive cosmological constant is dynamically driven to zero in the deep infrared. Moreover, the scaling dimensions associated with the universality classes emerging within the causal setting exhibit qualitative agreement with results found within the ϵ-expansion around two dimensions, Monte Carlo simulations based on Lattice Quantum Gravity, and the discretized Wheeler-deWitt equation.
Seems like Asymptotic safety in quantum gravity is making good progress, apparently progressing faster than either strings or loops, as a predictive theory. i.e prediction 126 gev higgs mass, 4 dimensions, no SUSY, etc. What are the implications if Asymptotic safety in quantum gravity is the final theory of quantum gravity?
Asymptotic safety in quantum gravity seems to avoid many of the issues of string theory reliance on higher dimensions and thus far unobserved supersymmetry. it also seems to avoid issues of LQG with semiclassical limit and lorentz invariance and coupling to SM QFT fields.