Constraints on matter from asymptotic safety
Roberto Percacci,Daniele Perini +1 more
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The existence of a UV attractive fixed point puts bounds on the type and number of massless minimally coupled matter fields, and the existence of such a fixed point has been shown to be asymptotically safe as mentioned in this paper.Abstract:
Recent studies of the ultraviolet behavior of pure gravity suggest that it admits a non-Gaussian attractive fixed point, and therefore that the theory is asymptotically safe. We consider the effect on this fixed point of massless minimally coupled matter fields. The existence of a UV attractive fixed point puts bounds on the type and number of such fields.read more
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The Asymptotic Safety Scenario in Quantum Gravity
Max Niedermaier,Martin Reuter +1 more
TL;DR: In this paper, a renormalizable quantum theory of the gravitational field is presented, which reconciles asymptotically safe couplings with unitarity, based on symmetry truncations and from truncated flow of the effective average action.
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Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
TL;DR: In this paper, the authors review and extend recent results on the "asymptotic safety" approach to quantum gravity, which is the search of a fixed point having suitable properties, and the tool that is used is a type of Wilsonian renormalization group equation.
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Quantum Einstein gravity
Martin Reuter,Frank Saueressig +1 more
TL;DR: In this paper, the authors give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in quantum Einstein gravity, and summarize the state of the art of the field with a focus on the evidence supporting the existence of the non-trivial renormalization group fixed point at the heart of the construction.
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Fractal spacetime structure in asymptotically safe gravity
O. Lauscher,Martin Reuter +1 more
TL;DR: In this article, the spectral dimension of spacetime is shown to be 2 microscopically and 4 on macroscopic scales, which is an exact consequence of asymptotic safety and does not rely on any truncation.
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Fixed Points of Higher-Derivative Gravity
TL;DR: The beta functions of higher-derivative gravity in four dimensions are recalculated using the one-loop approximation to an exact renormalization group equation and the theory appears to be asymptotically safe at a non-Gaussian fixed point rather than perturbatively renormalizable and asymPTotically free.
References
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Exact evolution equation for the effective potential
TL;DR: In this article, a new exact evolution equation for the scale dependence of an effective action was derived, which allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
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Exact evolution equation for the effective potential
TL;DR: In this paper, a new exact evolution equation for the scale dependence of an effective action was derived, which allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
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Nonperturbative evolution equation for quantum gravity
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