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We introduce a simple, exactly solvable strong-randomness renormalization group (RG) model for the many-body localization (MBL) transition in one dimension. Our approach relies on a family of RG flows parametrized by the asymmetry between…

Disordered Systems and Neural Networks · Physics 2019-02-05 Anna Goremykina , Romain Vasseur , Maksym Serbyn

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 $\Gamma_0$ by integrating…

High Energy Physics - Theory · Physics 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

We present a non-perturbative framework for the dynamics of slow-roll inflation that consistently incorporates quantum corrections, based on an alternative functional renormalisation group (RG) approach. We derive the coupled Friedmann-RG…

High Energy Physics - Theory · Physics 2025-11-10 Jean Alexandre , Lucien Heurtier , Silvia Pla

We present an extension of the functional renormalization group (FRG) framework developed to compute critical probability distributions of the order parameter to momentum-dependent observables. Focusing on the constraint effective action at…

Statistical Mechanics · Physics 2026-05-08 Félix Rose , Adam Rançon , Ivan Balog

The massless boundary sine-Gordon (SG) model is the only interacting impurity model with a known exact solution out-of-equilibrium, yet existing so far only for integer values of the sine Gordon coupling $\lambda$ [Phys. Rev. Lett. {\bf74},…

Strongly Correlated Electrons · Physics 2019-12-10 Edouard Boulat

We develop a novel real-space renormalization group (RG) scheme which accurately estimates correlation length exponent $\nu$ near criticality of higher-dimensional quantum Ising and Potts models in a transverse field. Our method is…

Statistical Mechanics · Physics 2014-02-05 Aleksander Kubica , Beni Yoshida

After a short elementary introduction to the exact renormalization group for the effective action, I discuss a particular truncation of the hierarchy of flow equations that allows for the determination of the full momentum of the $n$-point…

Statistical Mechanics · Physics 2011-10-18 Jean-Paul Blaizot

The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. Stokic , B. Friman , K. Redlich

We study the long-time aging dynamics of spin-glass models with two-spin interactions by performing a Renormalization Group transformation on the time variable in the non-equilibrium dynamical generating functional. We obtain the RG…

Disordered Systems and Neural Networks · Physics 2009-11-13 Horacio E. Castillo

The standard nonperturbative approaches of renormalization group for tensor models are generally focused on a purely local potential approximation (i.e. involving only generalized traces and product of them) and are showed to strongly…

High Energy Physics - Theory · Physics 2022-02-21 Vincent Lahoche , Dine Ousmane Samary

We present numerical renormalization group (NRG) calculations for a single-impurity Anderson model with a linear coupling to a local phonon mode. We calculate dynamical response functions, spectral densities, dynamic charge and spin…

Strongly Correlated Electrons · Physics 2009-11-07 A. Hewson , D. Meyer

We discuss exact renormalization group (RG) in $R^2$-gravity using effective average action formalism. The truncated evolution equation for such a theory on De Sitter background leads to the system of nonperturbative RG equations for…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Bytsenko , L. N. Granda , S. D. Odintsov

It is shown that exact renormalization group (RG) equations (including rescaling and field-renormalization) for respectively the scale-dependent full action $S[\phi,t]$ and the scale-dependent full effective action $\Gamma[\Phi,t]$ --in…

High Energy Physics - Theory · Physics 2014-05-06 C. Bervillier

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…

We study the critical behavior of the $O(n)$ model under steady shear flow using a dynamical renormalization group (RG) method. Incorporating the strong anisotropy in scaling ansatz, which has been neglected in earlier RG analyses, we…

Statistical Mechanics · Physics 2026-05-20 Harukuni Ikeda , Hiroyoshi Nakano

In this paper a mode of using the Dynamic Renormalization Group (DRG) method is suggested in order to cope with inconsistent results obtained when applying it to a continuous family of one-dimensional nonlocal models. The key observation is…

Statistical Mechanics · Physics 2020-10-05 E. Katzav

The application of the exact renormalisation group to a many-fermion system with a short-range attractive force is studied. We assume a simple ansatz for the effective action with effective bosons, describing pairing effects and derive a…

Nuclear Theory · Physics 2014-11-18 Boris Krippa

We have performed comprehensive numerical simulations of the Random Phase Sine Gordon Model, studying both statics and dynamics for various values of the coupling. The glass transition can be seen both in static and dynamic signals at a…

Condensed Matter · Physics 2009-10-28 David J. Lancaster , Juan J. Ruiz Lorenzo

The nonperturbative renormalization group has been considered as a solid framework to investigate fixed point and critical exponents for matrix and tensor models, expected to correspond with the so-called double scaling limit. In this…

High Energy Physics - Theory · Physics 2023-04-18 Vincent Lahoche , Dine Ousmane Samary

We use the functional renormalization group (FRG) to derive analytical expressions for thermodynamic observables (density, pressure, entropy, and compressibility) as well as for single-particle properties (wavefunction renormalization and…

Quantum Gases · Physics 2017-01-19 Jan Krieg , Dominik Strassel , Simon Streib , Sebastian Eggert , Peter Kopietz