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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

Higher rank symmetry and higher moment conservation have been drawn considerable attention from, e.g., subdiffusive transport to fracton topological order. In this paper, we perform a one-loop renormalization group (RG) analysis and show…

Quantum Gases · Physics 2021-12-14 Hongchao Li , Peng Ye

In nuclear matter, for interparticle separations larger than the healing distance (a characteristic long-distance scale of finite-density fermionic systems), the in-medium two-body wave function is essentially a free wave function. In terms…

Nuclear Theory · Physics 2026-03-23 Manuel Pavon Valderrama

We present a systematic weak-coupling renormalization group (RG) technique for studying a collection of $N$ coupled one-dimensional interacting electron systems, focusing on the example of N-leg Hubbard ladders. For $N=2,3$, we recover…

Strongly Correlated Electrons · Physics 2009-10-30 Hsiu-Hau Lin , Leon Balents , Matthew P. A. Fisher

We study response of liquid to a scale transformation, which generates a change of the liquid density, and obtain a set of differential equations for correlation functions. The set of equations, which we call density renormalization group…

Statistical Mechanics · Physics 2019-02-26 Satoshi Iso , Kiyoharu Kawana

The so-called renormalization group (RG) method is applied to derive kinetic and transport equations from the respective microscopic equations. The derived equations include Boltzmann equation in classical mechanics, Fokker-Planck equation,…

High Energy Physics - Theory · Physics 2009-11-07 Y. Hatta , T. Kunihiro

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970's to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models.…

Strongly Correlated Electrons · Physics 2009-10-31 R. Bulla

We present a renormalization group (RG) approach to explain universal features of extreme statistics, applied here to independent, identically distributed variables. The outlines of the theory have been described in a previous Letter, the…

Statistical Mechanics · Physics 2015-05-18 G. Gyorgyi , N. R. Moloney , K. Ozogany , Z. Racz , M. Droz

The advantages of using more than one renormalization group (RG) in problems with more than one important length scale are discussed. It is shown that: i) using different RG's can lead to complementary information, i.e. what is very…

High Energy Physics - Theory · Physics 2011-04-15 C. R. Stephens

A recently proposed renormalization group technique, based on the hierarchical structures present in theories with fluctuating geometry, is implemented in the model of branched polymers. The renormalization group equations can be solved…

High Energy Physics - Lattice · Physics 2009-10-28 Jan Ambjorn , Piotr Bialas , Jerzy Jurkiewicz

The renormalization group (RG) approach is largely responsible for the considerable success which has been achieved in developing a quantitative theory of phase transitions. This work treats the rigorous definition of the RG map for…

Mathematical Physics · Physics 2015-05-14 Mei Yin

We use renormalization group summed perturbation theory (RGSPT) to improve perturbation series in quantum chromodynamics in the determination of some of the standard model parameters.

High Energy Physics - Phenomenology · Physics 2023-11-14 M. S. A. Alam Khan

The purpose of this paper is (i) to present a generic and fully functional implementation of the density-matrix renormalization group (DMRG) algorithm, and (ii) to describe how to write additional strongly-correlated electron models and…

Strongly Correlated Electrons · Physics 2015-05-13 G. Alvarez

We apply the Nozieres-Gallet dynamic renormalization group (RG) scheme to a continuum equilibrium model of a d-dimensional surface relaxing by linear surface tension and linear surface diffusion, and which is subject to a lattice potential…

Statistical Mechanics · Physics 2009-11-07 Rodolfo Cuerno , Esteban Moro

We discuss examples of (1+1)-dimensional models where the perturbative renormalization group (RG) indicates a tendency to restore the symmetry in the strong coupling limit. We show that such restoration does occur sometimes, but the…

Strongly Correlated Electrons · Physics 2007-05-23 P. Azaria , P. Lecheminant , A. M. Tsvelik

The paper is about possible effects of infrared quantum contributions to General Relativity on disk and elliptical galaxies. The Renormalization Group corrected General Relativity (RGGR model) is used to parametrize these quantum effects.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Davi C. Rodrigues , Paulo L. C. de Oliveira , Julio C. Fabris , Ilya L. Shapiro

We investigate the role of entanglement in quantum phase transitions, and show that the success of the density matrix renormalization group (DMRG) in understanding such phase transitions is due to the way it preserves entanglement under…

Quantum Physics · Physics 2007-05-23 Tobias J. Osborne , Michael A. Nielsen

We suggest a new, renormalization group (RG) based, nonperturbative method for treating the intermittency problem of fully developed turbulence which also includes the effects of a finite boundary of the turbulent flow. The key idea is not…

chao-dyn · Physics 2007-05-23 Alexander Esser , Siegfried Grossmann

We present an alternative functional renormalization group (fRG) approach to the single-impurity Anderson model at finite temperatures. Starting with the exact self-energy and interaction vertex of a small system ('core') containing a…

Strongly Correlated Electrons · Physics 2013-01-11 Michael Kinza , Jutta Ortloff , Johannes Bauer , Carsten Honerkamp

We formulate a real-space renormalization group (RG) approach for efficient numerical analysis of the low-temperature hopping dynamics in energy-disordered lattices. The approach explicitly relies on the time-scale separation of the…

Mesoscale and Nanoscale Physics · Physics 2013-09-16 Kirill A. Velizhanin , Andrei Piryatinski , Vladimir Y. Chernyak
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