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 …

Critical reflections on asymptotically safe gravity

A Bonanno, A Eichhorn, H Gies, JM Pawlowski… - Frontiers in …, 2020 - frontiersin.org
Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

Constraining power of asymptotic safety for scalar fields

A Eichhorn, M Pauly - Physical Review D, 2021 - APS
We explore the phenomenology of scalar fields coupled to asymptotically safe quantum
gravity, in light of their potential significance for dark matter, for the inflaton as well as …

Lorentz invariance violations in the interplay of quantum gravity with matter

A Eichhorn, A Platania, M Schiffer - Physical Review D, 2020 - APS
We explore the interplay of matter with quantum gravity with a preferred frame to highlight
that the matter sector cannot be protected from the symmetry-breaking effects in the …

Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals

L Classen, IF Herbut, MM Scherer - Physical Review B, 2017 - APS
We establish a scenario where fluctuations of new degrees of freedom at a quantum phase
transition change the nature of a transition beyond the standard Landau-Ginzburg paradigm …

Hybrid Monte Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice

P Buividovich, D Smith, M Ulybyshev, L Von Smekal - Physical Review B, 2018 - APS
Using first-principle Hybrid Monte Carlo (HMC) simulations, we carry out an unbiased study
of the competition between spin-density wave (SDW) and charge-density wave (CDW) order …

Ising and Gross-Neveu model in next-to-leading order

B Knorr - Physical Review B, 2016 - APS
We study scalar and chiral fermionic models in next-to-leading order with the help of the
functional renormalization group. Their critical behavior is of special interest in condensed …

Fermion-induced quantum criticality with two length scales in Dirac systems

E Torres, L Classen, IF Herbut, MM Scherer - Physical Review B, 2018 - APS
The quantum phase transition to a Z 3-ordered Kekulé valence bond solid in two-
dimensional Dirac semimetals is governed by a fermion-induced quantum critical point …

Predictive power of grand unification from quantum gravity

A Eichhorn, A Held, C Wetterich - Journal of High Energy Physics, 2020 - Springer
A bstract If a grand-unified extension of the asymptotically safe Reuter fixed-point for
quantum gravity exists, it determines free parameters of the grand-unified scalar potential …

Quantum field theories of relativistic Luttinger fermions

H Gies, P Heinzel, J Laufkötter, M Picciau - Physical Review D, 2024 - APS
We propose relativistic Luttinger fermions as a new ingredient for the construction of
fundamental quantum field theories. We construct the corresponding Clifford algebra and …