Nonperturbative quantum gravity
By J. Ambjørn, A. Görlich, J. Jurkiewicz, R. Loll. 2012
451 citations recorded by the source corpus.
Abstract Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed background geometry. It is formulated in the framework of the Wilsonian renormalization group and relies crucially on the existence of an ultraviolet fixed point, for which evidence has been found using renormalization group equations in the continuum. “Causal Dynamical Triangulations” (CDT) is a concrete research program to obtain a nonperturbative quantum field theory of gravity via a lattice regularization, and represented as a sum over spacetime histories. In the Wilsonian spirit one can use this formulation to try to locate fixed points of the lattice theory and thereby provide independent, nonperturbative evidence for the existence of a UV fixed point. We describe the formalism of CDT, its phase diagram, possible fixed points and the “quantum geometries” which emerge in the different phases. We also argue that the formalism may be able to describe a more general class of Hořava–Lifshitz gravitational models.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/686a4862edf6851a54398e23f7bd6233484442b6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Renormalization of Tensorial Group Field Theories: Abelian U(1) Models in Four Dimensions (2012, background): “This has been a guiding principle in canonical Loop Quantum Gravity [1–3] and simplicial quantum gravity [4–6], but is also a necessary feature of any more fundamental formulation of string theory [7–9].”
- Quantum gravity from causal dynamical triangulations: a review (2019, methodology): “There are no specific technical difficulties in implementing this in dynamically triangulated quantum gravity, where gravitymatter models have been studied extensively in Euclidean-signature DT (see, for example, [2,17]).”
- Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, methodology): “In view of the relation [61, 62] between causal dynamical triangulations (CDT) and HL quantum gravity, both involving a global time foliation, there may also be useful applications of TNC geometry in the context of CDT [63].”