Dimensionally reduced gravity theories are asymptotically safe

DOI10.1016/j.nuclphysb.2003.09.015zbMath1037.83003arXivhep-th/0304117OpenAlexW2114338001MaRDI QIDQ1411214

Max R. Niedermaier

Publication date: 26 October 2003

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0304117

zbMATH Keywords

2-killing vector reductionall-order quasi-renormalizabilitybeta functionals

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items

A consistent quantum field theory from dimensional reduction ⋮ Running gauge coupling in asymptotically safe quantum gravity ⋮ The asymptotic safety scenario in quantum gravity ⋮ NOETHER SYMMETRY APPROACH TO SCALAR-FIELD-DOMINATED COSMOLOGY WITH DYNAMICALLY EVOLVING G AND Λ ⋮ Taming perturbative divergences in asymptotically safe gravity ⋮ Quantum Einstein gravity ⋮ Entropy production during asymptotically safe inflation ⋮ Charged black holes in the Einstein-Maxwell-Weyl gravity ⋮ On the classical and quantum Geroch group ⋮ On quantum determinants in integrable quantum gravity ⋮ Asymptotic Safety, Fractals, and Cosmology ⋮ A matter-dominated cosmological model with variable \(G\) and \(\Lambda \) and its confrontation with observational data ⋮ Fractal space-times under the microscope: a renormalization group view on Monte Carlo data ⋮ Fixed points of quantum gravity in extra dimensions ⋮ Noether symmetry approach in matter-dominated cosmology with variable \(G\) and \(\Lambda\) ⋮ Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation ⋮ Renormalization group and the Planck scale ⋮ The role of background independence for asymptotic safety in quantum Einstein gravity ⋮ Fixed Points of Quantum Gravity ⋮ Renormalization of Einstein gravity through a derivative-dependent field redefinition ⋮ ON THE POSSIBILITY OF QUANTUM GRAVITY EFFECTS AT ASTROPHYSICAL SCALES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear models in \(2+\epsilon\) dimensions
• 4-dimensional black holes from Kaluza-Klein theories
• Dualisation of dualities. II: Twisted self-duality of doubled fields and superdualities.
• Renormalization group flows in \(\sigma \)-models coupled to two-dimensional dynamical gravity
• The group theory of oxidation
• \(O(2,2)\) transformations and the string Geroch group.
• On nonlinear \(\sigma\)-models arising in (super-)gravity
• Is quantum Einstein gravity nonperturbatively renormalizable?
• GAUGE DEPENDENCE OF THE EFFECTIVE AVERAGE ACTION IN EINSTEIN GRAVITY
• The principle of symmetric criticality in general relativity
• Dimensionally reduced gravity, Hermitian symmetric spaces and the Ashtekar variables
• Gravitational dressing of the renormalization group
• Unpolarized radiative cylindrical spacetimes: trapped surfaces and quasilocal energy