Lectures on the functional renormalization group method [PDF]
Open Physics, 2003 These introductory notes are about functional renormalization group equations and some of their applications. It is emphasised that the applicability of this method extends well beyond critical systems, it actually provides us a general purpose algorithm
Polonyi Janos
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Effective action from the functional renormalization group [PDF]
European Physical Journal C: Particles and Fields, 2020 We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the “exact” or “functional” renormalization group equation to derive the effective action $$\Gamma _0$$ Γ 0 by integrating the flow ...
Nobuyoshi Ohta, Lesław Rachwał
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Deep Learning the Functional Renormalization Group. [PDF]
Physical Review Letters, 2022 We perform a data-driven dimensionality reduction of the scale-dependent four-point vertex function characterizing the functional renormalization group (FRG) flow for the widely studied two-dimensional t-t^{'} Hubbard model on the square lattice.
D. D. Sante +6 more
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Evidence for a novel shift-symmetric universality class from the functional renormalization group [PDF]
Physics Letters B, 2023 Wetterich's equation provides a powerful tool for investigating the existence and universal properties of renormalization group fixed points exhibiting quantum scale invariance.
Cristobal Laporte +3 more
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Renormalization Group Functional Equations
Physical Review D, 2010 Functional conjugation methods are used to analyze the global structure of various renormalization group trajectories, and to gain insight into the interplay between continuous and discrete rescaling.
A. B. Zamolodchikov +11 more
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Quantitative functional renormalization group description of the two-dimensional Hubbard model [PDF]
Physical Review Research, 2020 Using a leading algorithmic implementation of the functional renormalization group (fRG) for interacting fermions on two-dimensional lattices, we provide a detailed analysis of its quantitative reliability for the Hubbard model.
Cornelia Hille +7 more
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Efimov physics from the functional renormalization group [PDF]
, 2011 Few-body physics related to the Efimov effect is discussed using the functional renormalization group method. After a short review of renormalization in its modern formulation we apply this formalism to the description of scattering and bound states in ...
A. Rapp +55 more
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Better integrators for functional renormalization group calculations [PDF]
The European Physical Journal B, 2022 We analyze a variety of integration schemes for the momentum space functional renormalization group calculation with the goal of finding an optimized scheme.
Jacob Beyer, F. Goth, T. Müller
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Single-boson exchange representation of the functional renormalization group for strongly interacting many-electron systems [PDF]
Physical Review Research, 2022 We present a reformulation of the functional renormalization group (fRG) for many-electron systems, which relies on the recently introduced single-boson exchange (SBE) representation of the parquet equations [F. Krien, A. Valli, and M. Capone, Phys. Rev.
Pietro M. Bonetti +4 more
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Bosonization and Functional Renormalization Group Approach in the Framework of QED_2 [PDF]
, 2011 Known results on two-dimensional quantum electrodynamics (QED_2) have been used to study the dependence of functional renormalization group equations on renormalization schemes and approximations applied for its bosonized version. It is demonstrated that
Nandori, I.
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