The nonperturbative functional renormalization group and its applications
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 …
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 …
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 …
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 …
equations and renormalization group flow equations for n-point functions in a simple …
Consistency of matter models with asymptotically safe quantum gravity
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) …
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 …
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 …
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 …
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 …
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 …
describing the local dynamics of a light scalar field in de Sitter. After elaborating on the over …