Asymptotic solutions in asymptotic safety
TLDR
In this article, the asymptotic form of fixed-point solutions in functional truncations, in particular the f(R) approximation, has been studied both physically and mathematically.Abstract:
As already hinted at in Sect. 1.4.3, in order to understand fixed point solutions of the RG equation both physically and mathematically it is necessary to study their asymptotic behaviour. In this chapter we explain how to find the asymptotic form of fixed-point solutions in functional truncations, in particular the f(R) approximation.read more
Citations
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The nonperturbative functional renormalization group and its applications
N. Dupuis,Léonie Canet,Astrid Eichhorn,Astrid Eichhorn,W. Metzner,Jan M. Pawlowski,Matthieu Tissier,Nicolás Wschebor +7 more
TL;DR: The nonperturbative functional renormalization-group (FRG) approach as discussed by the authors is a modern implementation of Wilson's RG, which allows one to set up nonperturative approximation schemes that go beyond the standard perturbative RG approaches.
Journal ArticleDOI
The nonperturbative functional renormalization group and its applications
N. Dupuis,Léonie Canet,Astrid Eichhorn,Astrid Eichhorn,W. Metzner,Jan M. Pawlowski,Matthieu Tissier,Nicolás Wschebor +7 more
TL;DR: The nonperturbative functional renormalization-group (FRG) approach as discussed by the authors is a modern implementation of Wilson's RG, which allows one to set up nonperturative approximation schemes that go beyond the standard perturbative RG approaches.
Journal ArticleDOI
Asymptotic safety of gravity with matter
TL;DR: In this article, a general line of reasoning is put forward explaining why gravitons dominate the high energy behavior, largely independently of the matter fields as long as these remain sufficiently weakly coupled.
Journal ArticleDOI
Asymptotic safety of quantum gravity beyond Ricci scalars
TL;DR: In this article, the Ricci tensor invariants stabilize the UV fixed point and lead to a rapid convergence of polynomial approximations for quantum gravity with curvature invariants beyond Ricci scalars.
Journal ArticleDOI
Critical reflections on asymptotically safe gravity
Alfio Bonanno,Astrid Eichhorn,Astrid Eichhorn,Holger Gies,Jan M. Pawlowski,Roberto Percacci,Martin Reuter,Frank Saueressig,Gian Paolo Vacca +8 more
TL;DR: Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field theories, in particular for quantum gravity as discussed by the authors, and significant progress on this program has led to a first characterization of the Reuter fixed point.
References
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Max Niedermaier,Martin Reuter +1 more
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