Exploring the θ-vacuum structure in the functional renormalization group approach
Journal of High Energy Physics, 2022 We investigate the θ-vacuum structure and the ’t Hooft anomaly at θ = π in a simple quantum mechanical system on S 1 to scrutinize the applicability of the functional renormalization group (fRG) approach.
Kenji Fukushima +2 more
doaj +1 more source
Renormalization: general theory [PDF]
arXiv, 2023 We review the theory of renormalization, including perturbative renormalization, regularized functional integrals, Renormalization Group and rigorous renormalization.
arxiv
Differential Renormalization, the Action Principle and Renormalization Group Calculations [PDF]
Z.Phys. C67 (1995) 531-541, 1994 General prescriptions of differential renormalization are presented. It is shown that renormalization group functions are straightforwardly expressed through some constants that naturally arise within this approach. The status of the action principle in the framework of differential renormalization is discussed.
arxiv +1 more source
Multiloop functional renormalization group for general models [PDF]
, 2018 We present multiloop flow equations in the functional renormalization group (fRG) framework for the four-point vertex and self-energy, formulated for a general fermionic many-body problem. This generalizes the previously introduced vertex flow [F.
Kugler, Fabian B., von Delft, Jan
core +3 more sources
Renormalization Group Transformation for the Wave Function [PDF]
Annals of Physics, 1998 The problem considered here is the determination of the hamiltonian of a first quantized nonrelativistic particle by the help of some measurements of the location with a finite resolution. The resulting hamiltonian depends on the resolution of the measuring device.
Hanae El Hattab +2 more
openaire +4 more sources
Computing the effective action with the functional renormalization group [PDF]
The European Physical Journal C, 2016 40 ...
Codello, A. +3 more
openaire +5 more sources
Continuum limit in matrix models for quantum gravity from the Functional Renormalization Group [PDF]
Phys. Rev. D 88, 084016 (2013), 2013 We consider the double-scaling limit in matrix models for two-dimensional quantum gravity, and establish the nonperturbative functional Renormalization Group as a novel technique to compute the corresponding interacting fixed point of the Renormalization Group flow. We explicitly evaluate critical exponents and compare to the exact results.
arxiv +1 more source
The renormalization group with exact β-functions [PDF]
Canadian Journal of Physics, 2006 The perturbative β-function is known exactly in a number of supersymmetric theories and in the ‘t Hooft renormalization scheme in the [Formula: see text] model. It is shown how this allows one to compute the effective action exactly for certain background field configurations and to relate bare and renormalized couplings.
V Elias, D.G.C. McKeon
openaire +3 more sources
Functional renormalization group study of the critical region of the quark-meson model with vector interactions [PDF]
The European Physical Journal C, 2020 The critical region of the two flavour quark-meson model with vector interactions is explored using the Functional Renormalization Group, a non-perturbative method that takes into account quantum and thermal fluctuations.
R. C. Pereira +2 more
semanticscholar +1 more source
The conformal sector of Quantum Einstein Gravity beyond the local potential approximation
Physics Letters B, 2023 The anomalous scaling of Newton's constant around the Reuter fixed point is dynamically computed using the functional flow equation approach. Specifically, we thoroughly analyze the flow of the most general conformally reduced Einstein-Hilbert action ...
Alfio Bonanno +2 more
doaj