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 …

Keldysh field theory for driven open quantum systems

LM Sieberer, M Buchhold, S Diehl - Reports on Progress in …, 2016 - iopscience.iop.org
Recent experimental developments in diverse areas—ranging from cold atomic gases to
light-driven semiconductors to microcavity arrays—move systems into the focus which are …

Turbulence theories and statistical closure approaches

Y Zhou - Physics Reports, 2021 - Elsevier
When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

Convergence of nonperturbative approximations to the renormalization group

I Balog, H Chaté, B Delamotte, M Marohnić… - Physical review …, 2019 - APS
We provide analytical arguments showing that the “nonperturbative” approximation scheme
to Wilson's renormalization group known as the derivative expansion has a finite radius of …

Growing interfaces uncover universal fluctuations behind scale invariance

KA Takeuchi, M Sano, T Sasamoto, H Spohn - Scientific reports, 2011 - nature.com
Stochastic motion of a point–known as Brownian motion–has many successful applications
in science, thanks to its scale invariance and consequent universal features such as …

Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence

KA Takeuchi, M Sano - Journal of Statistical Physics, 2012 - Springer
We provide a comprehensive report on scale-invariant fluctuations of growing interfaces in
liquid-crystal turbulence, for which we recently found evidence that they belong to the Kardar …

Real time correlation functions and the functional renormalization group

JM Pawlowski, N Strodthoff - Physical Review D, 2015 - APS
We put forward a functional renormalization group approach for the direct computation of
real time correlation functions, also applicable at finite temperature and density. We …

Exact solution for the stationary Kardar-Parisi-Zhang equation

T Imamura, T Sasamoto - Physical review letters, 2012 - APS
We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang
equation. A formula for the distribution of the height is given in terms of a Fredholm …

Nonperturbative renormalization group preserving full-momentum dependence: Implementation and quantitative evaluation

F Benitez, JP Blaizot, H Chaté, B Delamotte… - Physical Review E …, 2012 - APS
We present the implementation of the Blaizot-Méndez-Wschebor approximation scheme of
the nonperturbative renormalization group we present in detail, which allows for the …

Inverse scattering solution of the weak noise theory of the Kardar-Parisi-Zhang equation with flat and Brownian initial conditions

A Krajenbrink, P Le Doussal - Physical Review E, 2022 - APS
We present the solution of the weak noise theory (WNT) for the Kardar-Parisi-Zhang
equation in one dimension at short time for flat initial condition (IC). The nonlinear …