Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
Reads0
Chats0
TLDR
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.About:
This article is published in Annals of Physics.The article was published on 2009-02-01 and is currently open access. It has received 579 citations till now. The article focuses on the topics: Asymptotic safety in quantum gravity & Renormalization.read more
Citations
More filters
Journal ArticleDOI
Nonperturbative quantum gravity
TL;DR: The causal dynamical triangulations (CDT) as mentioned in this paper is a formalism of a non-perturbative quantum field theory of gravity via a lattice regularization, and represented as a sum over spacetime histories.
Journal ArticleDOI
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.
Journal ArticleDOI
Asymptotic safety of gravity and the Higgs boson mass
TL;DR: For a positive gravity induced anomalous dimension A λ > 0, the running of the quartic scalar self interaction at scales beyond the Planck mass is determined by a fixed point at zero as mentioned in this paper.
Journal ArticleDOI
Nonperturbative Quantum Gravity
TL;DR: The causal dynamical triangulations (CDT) as mentioned in this paper is a formalism for non-perturbative quantum field theory of gravity via a lattice regularization, and represented as a sum over spacetime histories.
Journal ArticleDOI
Asymptotic safety in higher-derivative gravity
TL;DR: In this article, the nonperturbative renormalization group flow of higher-derivative gravity employing functional renormalisation group techniques was studied. But the authors focused on the unitarity problem and the safety conjecture of gravity.
References
More filters
Journal ArticleDOI
The Renormalization group and the epsilon expansion
TL;DR: In this paper, the modern formulation of the renormalization group is explained for both critical phenomena in classical statistical mechanics and quantum field theory, and the expansion in ϵ = 4−d is explained [ d is the dimension of space (statistical mechanics) or space-time (quantum field theory)].
Journal ArticleDOI
The renormalization group: Critical phenomena and the Kondo problem
TL;DR: A review of renormalization group ideas in the context of critical phenomena can be found in this paper, where the authors discuss the relationship of the modern renormalisation group to the older problems of divergences in statistical mechanics and field theory.
Posted Content
What is string theory
TL;DR: The first part is an introduction to conformal field theory and string perturbation theory and the second part deals with the search for a deeper answer to the question posed in the title as discussed by the authors.
Journal ArticleDOI
Introduction to modified gravity and gravitational alternative for dark energy
TL;DR: In this paper, a review of modified gravities considered as a gravitational alternative for dark energy is presented, and the possibility to explain the coincidence problem as the manifestation of the universe expansion in such models is mentioned.
Journal ArticleDOI
Renormalization of Higher Derivative Quantum Gravity
TL;DR: The necessary Slavnov identities are derived from Becchi-Rouet-Stora (BRS) transformations of the gravitational and Faddeev-Popov ghost fields.