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The channel-decomposed functional renormalization group (FRG) approach, most recently in the variant of truncated-unity-(TU-)FRG, has so far been used for various two-dimensional model systems. Yet, for many interesting material systems the…

Strongly Correlated Electrons · Physics 2020-11-11 Jannis Ehrlich , Carsten Honerkamp

We study the application of the exact renormalisation group to a many-fermion system with a short-range attractive force. We introduce a boson field to describe pairing effects, and take a simple ansatz for the effective action. We derive a…

High Energy Physics - Phenomenology · Physics 2016-09-06 Michael C. Birse , Boris Krippa , Judith A. McGovern , Niels R. Walet

We investigate the relationship between the functional renormalization group (RG) and the dual holography framework in the path integral formulation, highlighting how each can be understood as a manifestation of the other. Rather than…

High Energy Physics - Theory · Physics 2026-04-28 Ki-Seok Kim , Arpita Mitra , Debangshu Mukherjee , Seung-Jong Yoo

Using functional renormalization group methods, we study an effective low-energy model describing the Ising-nematic quantum critical point in two-dimensional metals. We treat both gapless fermionic and bosonic degrees of freedom on equal…

Strongly Correlated Electrons · Physics 2012-06-25 Casper Drukier , Lorenz Bartosch , Aldo Isidori , Peter Kopietz

We consider a functional relation between a given Wilsonian RG flow, which has to be related to a specific coarse-graining procedure, and an infinite family of (UV cutoff) scale dependent field redefinitions. Within this framework one can…

High Energy Physics - Theory · Physics 2020-03-03 Gian Paolo Vacca

We revisit the critical behavior of classical frustrated systems using the nonperturbative renormalization group (NPRG) equation. Our study is performed within the local potential approximation of this equation to which is added the flow of…

Statistical Mechanics · Physics 2016-04-11 Shunsuke Yabunaka , Bertrand Delamotte

The functional renormalization group (FRG) approach for spin models relying on a pseudo-fermionic description has proven to be a powerful technique in simulating ground state properties of strongly frustrated magnetic lattices. A drawback…

Strongly Correlated Electrons · Physics 2025-12-17 Janik Potten , Yasir Iqbal , Ronny Thomale , Tobias Müller

We describe a way to continue the fermionic renormalization group flow into phases with broken global symmetry. The method does not require a Hubbard-Stratonovich decoupling of the interaction. Instead an infinitesimally small…

Strongly Correlated Electrons · Physics 2009-11-10 Manfred Salmhofer , Carsten Honerkamp , Walter Metzner , Oliver Lauscher

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

Strongly Correlated Electrons · Physics 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

Complex systems with many degrees of freedom are typically intractable, but some of their behaviors may admit simpler effective descriptions. The question of when such effective descriptions are possible remains open. The paradigmatic…

Statistical Mechanics · Physics 2020-11-26 Charlotte Strandkvist , Pavel Chvykov , Mikhail Tikhonov

We derive generic relativistic hydrodynamical equations with dissipative effects from the underlying Boltzmann equation in a mechanical and systematic way on the basis of so called the renormalization-group (RG) method. A macroscopic frame…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Tsumura , T. Kunihiro , K. Ohnishi

The functional renormalization group provides an efficient description of the interplay and competition of correlations on different energy scales in interacting Fermi systems. An exact hierarchy of flow equations yields the gradual…

Strongly Correlated Electrons · Physics 2008-10-06 Sabine Andergassen , Tilman Enss , Christoph Karrasch , Volker Meden

Extended dynamical mean-field theory (EDMFT) is insufficient to describe non-local effects in strongly correlated systems, since corrections to the mean-field solution are generally large. We present an efficient scheme for the construction…

Strongly Correlated Electrons · Physics 2020-06-02 E. A. Stepanov , A. Huber , E. G. C. P. van Loon , A. I. Lichtenstein , M. I. Katsnelson

It is explained how field-theoretic methods and the dynamic renormalisation group (RG) can be applied to study the universal scaling properties of systems that either undergo a continuous phase transition or display generic scale…

Statistical Mechanics · Physics 2011-03-28 Uwe C. Tauber

We apply a functional implementation of the field-theoretical renormalization group (RG) method up to two loops to the single-impurity Anderson model. To achieve this, we follow a RG strategy similar to that proposed by Vojta \emph{et al.}…

Strongly Correlated Electrons · Physics 2012-01-11 Hermann Freire , Eberth Corrêa

We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum field theories which generalize matrix models to dimension $d…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Sylvain Carrozza

Several problems in physics, in particular the averaging problem in gravity, can be described in a formalism derived from the real-space Renormalization Group (RG) methods. It is shown that the RG flow is provided by the Ricci-Hamilton…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kamilla Piotrkowska

We present a simple and consistent way to compute correlation functions in interacting theories with non-trivial phase diagram. As an example we show how to consistently compute the four-point function in three dimensional…

High Energy Physics - Theory · Physics 2016-07-13 Alessandro Codello , Alberto Tonero

In this paper we analyze the renormalization group (RG) flow of field theories with quenched disorder, in which the couplings vary randomly in space. We analyze both classical (Euclidean) disorder and quantum disorder, emphasizing general…

High Energy Physics - Theory · Physics 2018-08-22 Ofer Aharony , Vladimir Narovlansky

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

High Energy Physics - Phenomenology · Physics 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu