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We study transport properties of quantum impurity systems using the functional renormalization group. The latter is an RG-based diagrammatic tool to treat Coulomb interactions in a fast and flexible way. Prior applications, which employed a…

Strongly Correlated Electrons · Physics 2010-09-21 C. Karrasch

We implement an explicit two-loop calculation of the coupling functions and the self-energy of interacting fermions with a two-dimensional flat Fermi surface in the framework of the field theoretical renormalization group (RG) approach.…

Strongly Correlated Electrons · Physics 2009-11-10 H. Freire , E. Correa , A. Ferraz

We derive the RG-flow equations of the sliding Luttinger liquid perturbed by charge-density-wave (CDW) and superconducting (SC) operators. Using them we study the phase diagram of an array of XXZ spin chains coupled by Ising terms. In the…

Superconductivity · Physics 2007-05-23 G. Sierra

We study the classification of the gapped phases or massive renormalization group (RG) flows dual to the massless RG flows under changing the sign of the coupling constants. Whereas our formalism is based on combining Higgs- or…

High Energy Physics - Theory · Physics 2026-05-20 Yoshiki Fukusumi , Shuma Nakashiba

Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a quantum theory of gravity within the framework of quantum field theory based on a non-Gau{\ss}ian fixed point of the renormalization group flow. In this work…

High Energy Physics - Theory · Physics 2016-06-01 Holger Gies , Benjamin Knorr , Stefan Lippoldt , Frank Saueressig

We revisit the existence of monotonic quantities along renormalization group flows using only the Null Energy Condition and the Ryu-Takayanagi formula for the entanglement entropy of field theories with anti-de Sitter gravity duals. In…

High Energy Physics - Theory · Physics 2024-09-27 Evan Deddo , James T. Liu , Leopoldo A. Pando Zayas , Robert J. Saskowski

In this letter we study renormalization group (RG) flows between 2d conformal field theories enjoying extended higher-spin $\mathcal{W}$-symmetry. We propose a new class of RG flows between the diagonal minimal models of…

High Energy Physics - Theory · Physics 2026-01-27 Federico Ambrosino , Tomáš Procházka

We study the critical properties of the weakly disordered two-dimensional Ising and Baxter models in terms of the renormalization group (RG) theory generalized to take into account the replica symmetry breaking (RSB) effects. Recently it…

Condensed Matter · Physics 2009-10-28 D. E. Feldman , A. V. Izyumov , Viktor Dotsenko

We discuss the errors introduced by level truncation in the study of boundary renormalisation group flows by the Truncated Conformal Space Approach. We show that the TCSA results can have the qualitative form of a sequence of RG flows…

High Energy Physics - Theory · Physics 2007-05-23 Giovanni Feverati , Kevin Graham , Paul A. Pearce , Gabor Zs. Toth , Gerard Watts

We study renormalization group multicritical fixed points in the $\epsilon$-expansion of scalar field theories characterized by the symmetry of the (hyper)cubic point group $H_N$. After reviewing the algebra of $H_N$-invariant polynomials…

High Energy Physics - Theory · Physics 2021-04-08 Riccardo Ben Alì Zinati , Alessandro Codello , Omar Zanusso

The sedimentation of a pair of rigid circular particles in a two-dimensional vertical channel containing a Newtonian fluid is investigated numerically, for terminal particle Reynolds numbers ranging from 1 to 10, and for a confinement ratio…

Fluid Dynamics · Physics 2016-11-30 Romuald Verjus , Sylvain Guillou , Alexander Ezersky , Jean-Régis Angilella

The functional renormalization group (FRG) approach is a powerful tool for studies of a large variety of systems, ranging from statistical physics over the theory of the strong interaction to gravity. The practical application of this…

The problem of a quantum Ising degree of freedom coupled to a gapless bosonic mode appears naturally in many one dimensional systems, yet surprisingly little is known how such a coupling affects the Ising quantum critical point. We…

Strongly Correlated Electrons · Physics 2017-02-21 Ori Alberton , Jonathan Ruhman , Erez Berg , Ehud Altman

We study the singularity of the order parameter at the transition between a critical phase and an ordered phase of bond percolation on pointed hierarchical graphs. In pointed hierarchical graphs, the renormalization group (RG) equation…

Statistical Mechanics · Physics 2018-12-21 Tomoaki Nogawa

We study the scaling behaviors of the active model B+ using the functional renormalization group (FRG) approach, based on the nonequilibrium effective action formulated via the Martin-Siggia-Rose path-integral formalism. We derive the…

Statistical Mechanics · Physics 2026-01-28 Gergely Fejős , Zsolt Szép , Naoki Yamamoto

We consider the field renormalization group (RG) of two coupled one-spatial dimension (1D) spinless fermion chains under intraforward, interforward, interbackscattering and interumklapp interactions until two-loops order. Up to this order,…

Strongly Correlated Electrons · Physics 2014-02-04 Thiago Prudêncio

In this work, we present a holographic renormalization scheme for asymptotically anti-de Sitter spacetimes in which the dual renormalization scheme of the boundary field theory is dimensional regularization. This constitutes a new level of…

High Energy Physics - Theory · Physics 2019-10-23 Adam Bzowski , Marjorie Schillo

The Renormalization Group (RG) methods are still far from being completely understood in quenched disordered systems. In order to gain insight into the nature of the phase transition of these systems, it is common to investigate simple…

Disordered Systems and Neural Networks · Physics 2014-04-02 Aurélien Decelle , Giorgio Parisi , Jacopo Rocchi

We construct a special-purpose functional flow equation which facilitates non-perturbative renormalization group (RG) studies on theory spaces involving a large number of independent field components that are prohibitively complicated using…

High Energy Physics - Theory · Physics 2015-06-23 Ulrich Harst , Martin Reuter

Using the functional renormalization group, we study the depinning of elastic objects in presence of anisotropy. We explicitly demonstrate how the KPZ-term is always generated, even in the limit of vanishing velocity, except where excluded…

Condensed Matter · Physics 2009-11-07 Pierre Le Doussal , Kay Joerg Wiese