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 …

The theory of the strong interaction, quantum chromodynamics (QCD), describes the
generation of hadronic masses and the state of hadronic matter during the early stages of …

We use the Gross-Neveu model in 2< d< 4 as a simple fermionic example for Weinberg's
asymptotic safety scenario: despite being perturbatively nonrenormalizable, the model …

Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous
transition from the semimetallic into the antiferromagnetic insulating phase with increase of …

We show the absence of an instability of homogeneous (chiral) condensates against
spatially inhomogeneous perturbations for various (2+ 1)-dimensional four-fermion and …

We continue previous investigations of the (inhomogeneous) phase structure of the Gross-
Neveu model in a noninteger number of spatial dimensions (1≤ d< 3) in the limit of an …

We apply pseudospectral methods to construct global solutions of functional renormalization
group equations in field space to high accuracy. For this, we introduce a basis to resolve …

The Gross-Neveu model in the N→∞ limit in d= 1 spatial dimensions exhibits a chiral
inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that …

We investigate the UV fixed-point structure of the three-dimensional Thirring model by
means of the functional renormalization group. We classify all possible 4-fermi interactions …

We apply pseudospectral methods to integrate functional flow equations with high accuracy,
extending earlier work on functional fixed point equations [J. Borchardt and B. Knorr, Phys …