A common feature of recent functional renormalization group investigations of effective low-
energy QCD is the appearance of a backbending behavior of the chiral phase transition line …

We study the q-state Potts model for q and the space dimension d arbitrary real numbers
using the derivative expansion of the nonperturbative renormalization group at its leading …

It is expected that conformal symmetry is an emergent property of many systems at their
critical point. This imposes strong constraints on the critical behavior of a given system …

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 …

Turbulence is a complex nonlinear and multi-scale phenomenon. Although the fundamental
underlying equations, the Navier–Stokes equations, have been known for two centuries, it …

This thesis deals with several aspects of non-perturbative calculations in low-dimensional
quantum field theories. It is split into two main parts: The first part focuses on method …

We study d-dimensional scalar field theory in the local potential approximation of the
functional renormalization group. Sturm-Liouville methods allow the eigenoperator equation …

Abstract We apply a Local Discontinuous Galerkin discretisation to flow equations of the O
(N)-model in the Local Potential Approximation. The improved stability is directly observed …

Functional approaches are the only first principle QCD setup that allow for direct
computations at finite density. Predictive power and quantitative reliability of the respective …

We revisit the critical behavior of classical frustrated systems using the nonperturbative
renormalization group (NPRG) equation. Our study is performed within the local potential …