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The Wilsonian renormalisation group is applied to a system of two nonrelativistic particles interacting via short-range forces and coupled to an external EM field. By demanding that a fully off-shell one-particle-irreducible 5-point…

Nuclear Theory · Physics 2019-01-30 A. N. Kvinikhidze , M. C. Birse

Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Michael C. Birse , Judith A. McGovern , Keith G. Richardson

Recently, it has been claimed that some complex networks are self-similar under a convenient renormalization procedure. We present a general method to study renormalization flows in graphs. We find that the behavior of some variables under…

Physics and Society · Physics 2009-11-13 Filippo Radicchi , José Javier Ramasco , Alain Barrat , Santo Fortunato

Extending the results obtained in the case $N$ odd, the effect of slightly relevant perturbations of the second parafermionic field theory with the symmetry $\mathbb{Z}_{N}$, for $N$ even, are studied. The renormalization group equations,…

High Energy Physics - Theory · Physics 2008-12-17 Benoit Estienne

The renormalization group approach is studied for large $N$ models. The approach of Br\'ezin and Zinn-Justin is explained and examined for matrix models. The validity of the approach is clarified by using the vector model as a similar and…

High Energy Physics - Theory · Physics 2008-11-26 Saburo Higuchi , Chigak Itoi , Norisuke Sakai

In the framework of the renormalization-group theory of critical phenomena, a quantitative description of many continuous phase transitions can be obtained by considering an effective $\Phi^4$ theories, having an N-component fundamental…

Statistical Mechanics · Physics 2009-11-11 Ettore Vicari , Jean Zinn-Justin

A family of models for fluctuating loops in a two dimensional random background is analyzed. The models are formulated as O(n) spin models with quenched inhomogeneous interactions. Using the replica method, the models are mapped to the…

Disordered Systems and Neural Networks · Physics 2009-08-03 Hirohiko Shimada

We study a system consisting of a junction of N quantum wires, where the junction is characterized by a scalar S-matrix, and an impurity spin is coupled to the electrons close to the junction. The wires are modeled as weakly interacting…

Strongly Correlated Electrons · Physics 2009-11-11 V. Ravi Chandra , Sumathi Rao , Diptiman Sen

Renormalization Group flows relate the values of couplings at different scales. Here, we go beyond the Renormalization Group flow of individual trajectories and derive an evolution equation for a distribution on the space of couplings. This…

High Energy Physics - Theory · Physics 2025-06-17 Astrid Eichhorn , Aaron Held

In this paper we study a simple example of a two-parameter space of renormalisation group flows of defects in Virasoro minimal models. We use a combination of exact results, perturbation theory and the truncated conformal space approach to…

High Energy Physics - Theory · Physics 2010-10-21 Márton Kormos , Ingo Runkel , Gérard M. T. Watts

We report a comprehensive numerical study of the renormalization group flow of marginal couplings in $(3+1)$-dimensional projectable Ho\v{r}ava gravity. First, we classify all fixed points of the flow and analyze their stability matrices.…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Andrei O. Barvinsky , Alexander V. Kurov , Sergey M. Sibiryakov

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

The randomly pinned planar flux line array is supposed to show a phase transition to a vortex glass phase at low temperatures. This transition has been examined by using a mapping onto a 2D XY-model with random an\-iso\-tropy but without…

Condensed Matter · Physics 2016-08-31 Jan Kierfeld

The critical behavior for intermittency is studied in two coupled one-dimensional (1D) maps. We find two fixed maps of an approximate renormalization operator in the space of coupled maps. Each fixed map has a common relavant eigenvaule…

chao-dyn · Physics 2009-10-31 Sang-Yoon Kim

The Regge-Gribov model of the pomeron and odderon in the non-trivial transverse space is studied by the renormalization group technique. The single loop approximation is adopted. Five real fixed points are found and the high-energy…

High Energy Physics - Theory · Physics 2024-06-28 M. A. Braun , E. M. Kuzminskii , M. I. Vyazovsky

Applying the bosonization procedure to weakly coupled Hubbard chains we discuss the fixed points of the renormalization group flow where all spin excitations are gapful and a singlet pairing becomes the dominant instability.

Condensed Matter · Physics 2009-10-22 D. V. Khveshchenko , T. M. Rice

We study the renormalization group flow of $\mathbb{Z}_2$-invariant supersymmetric and non-supersymmetric scalar models in the local potential approximation using functional renormalization group methods. We focus our attention to the fixed…

High Energy Physics - Theory · Physics 2015-10-28 Tobias Hellwig , Andreas Wipf , Omar Zanusso

A new renormalization group treatment is proposed for the critical exponents of an m-fold Lifshitz point. The anisotropic cases (m not equal 8) are described by two independent fixed points associated to two independent momentum flow along…

High Energy Physics - Theory · Physics 2007-05-23 Marcelo M. Leite

Nonrelativistic two-body scattering by a short-ranged potential is studied using the renormalisation group. Two fixed points are identified: a trivial one and one describing systems with a bound state at zero energy. The eigenvalues of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael C. Birse , Judith A. McGovern , Keith G. Richardson

Flows of the couplings of a theory of an N-component (complex) scalar field coupled to electrodynamics is investigated using the functional renormalization group formalism in d dimensions in covariant gauges. We find charged fixed points…

High Energy Physics - Phenomenology · Physics 2017-10-04 G. Fejos , T. Hatsuda