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 …

Fundamentals of the exact renormalization group

OJ Rosten - Physics Reports, 2012 - Elsevier
Various aspects of the Exact Renormalization Group (ERG) are explored, starting with a
review of the concepts underpinning the framework and the circumstances under which it is …

The Renormalization Group flow of unimodular f (R) gravity

A Eichhorn - Journal of High Energy Physics, 2015 - Springer
A bstract Unimodular gravity is classically equivalent to General Relativity. This equivalence
extends to actions which are functions of the curvature scalar. At the quantum level, the …

Algorithmic derivation of functional renormalization group equations and Dyson–Schwinger equations

MQ Huber, J Braun - Computer Physics Communications, 2012 - Elsevier
We present the Mathematica application DoFun1 which allows to derive Dyson–Schwinger
equations and renormalization group flow equations for n-point functions in a simple …

Consistency of matter models with asymptotically safe quantum gravity

P Donà, A Eichhorn, R Percacci - Canadian Journal of Physics, 2015 - cdnsciencepub.com
We discuss the compatibility of quantum gravity with dynamical matter degrees of freedom.
Specifically, we present bounds we obtained in Donà et al.(Phys. Rev. D, 89, 084035 (2014) …

Stochastic dynamics for group field theories

V Lahoche, D Ousmane Samary - Physical Review D, 2023 - APS
Phase transitions with spontaneous symmetry breaking are expected for group field theories
as a basic feature of the geometogenesis scenario. The following paper aims to investigate …

Computing first-passage times with the functional renormalisation group

G Rigopoulos, A Wilkins - Journal of Cosmology and Astroparticle …, 2023 - iopscience.iop.org
Abstract We use Functional Renormalisation Group (FRG) techniques to analyse the
behaviour of a spectator field, σ, during inflation that obeys an overdamped Langevin …

Ward identities and local potential approximation for large time quantum (2+ p)-spin glass dynamics

BBB Natta, V Lahoche, DO Samary… - arXiv preprint arXiv …, 2024 - arxiv.org
This paper aims to study the functional renormalization group for quantum $(2+ p) $-spin
dynamics of a $ N $-vector $ x\in {R}^ N $. By fixing the gauge symmetry in the construction …

Functional renormalization group for multilinear disordered Langevin dynamics II: Revisiting the p= 2 spin dynamics for Wigner and Wishart ensembles

V Lahoche, DO Samary… - Journal of Physics …, 2023 - iopscience.iop.org
In this paper, we investigate the large-time behavior for a slightly modified version of the
standard p= 2 soft spins dynamics model, including a quartic or higher potential. The …

Functional renormalization group for stochastic inflation

T Prokopec, G Rigopoulos - Journal of Cosmology and …, 2018 - iopscience.iop.org
We apply the functional renormalization group to Starobinsky's stochastic equation
describing the local dynamics of a light scalar field in de Sitter. After elaborating on the over …