The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Critical reflections on asymptotically safe gravity

A Bonanno, A Eichhorn, H Gies, JM Pawlowski… - Frontiers in …, 2020 - frontiersin.org
Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

Quantum einstein gravity

M Reuter, F Saueressig - New Journal of Physics, 2012 - iopscience.iop.org
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety
program in quantum Einstein gravity. Using the continuum approach based upon the …

Further evidence for asymptotic safety of quantum gravity

K Falls, D Litim, K Nikolakopoulos, C Rahmede - Physical Review D, 2016 - APS
The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using
the renormalization group, we find evidence for an interacting UV fixed point for polynomial …

Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox

B Knorr, C Ripken, F Saueressig - Classical and Quantum Gravity, 2019 - iopscience.iop.org
Over the last years the asymptotic safety program has matured into a serious candidate for a
quantum theory of gravity compatible with observations. The rapid technical progress in …

Gravitational two-loop counterterm is asymptotically safe

H Gies, B Knorr, S Lippoldt, F Saueressig - Physical Review Letters, 2016 - APS
Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a
quantum theory of gravity within the framework of quantum field theory based on a non …

Cosmology of the Lifshitz universe

G Calcagni - Journal of High Energy Physics, 2009 - iopscience.iop.org
We study the ultraviolet complete non-relativistic theory recently proposed by Hořava. After
introducing a Lifshitz scalar for a general background, we analyze the cosmology of the …

Scalar-tensor theories within Asymptotic Safety

C Laporte, AD Pereira, F Saueressig… - Journal of High Energy …, 2021 - Springer
A bstract Asymptotic Safety provides an elegant mechanism for obtaining a consistent high-
energy completion of gravity and gravity-matter systems. Following the initial idea by Steven …

Resolving spacetime singularities within asymptotic safety

L Bosma, B Knorr, F Saueressig - Physical Review Letters, 2019 - APS
A key incentive of quantum gravity is the removal of spacetime singularities plaguing the
classical theory. We compute the nonperturbative momentum dependence of a specific …

Renormalization group fixed points of foliated gravity-matter systems

J Biemans, A Platania, F Saueressig - Journal of High Energy Physics, 2017 - Springer
A bstract We employ the Arnowitt-Deser-Misner formalism to study the renormalization group
flow of gravity minimally coupled to an arbitrary number of scalar, vector, and Dirac fields …