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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 …
Critical reflections on asymptotically safe gravity
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 …
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 …
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
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 …
that the matter sector cannot be protected from the symmetry-breaking effects in the …
Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals
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 …
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
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 …
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 …
functional renormalization group. Their critical behavior is of special interest in condensed …
Fermion-induced quantum criticality with two length scales in Dirac systems
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 …
dimensional Dirac semimetals is governed by a fermion-induced quantum critical point …
Predictive power of grand unification from quantum gravity
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 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 …
fundamental quantum field theories. We construct the corresponding Clifford algebra and …