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A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jochen Heitger

Second-order phase transitions in a non-equilibrium liquid-gas model with reversible mode couplings, i.e., model H for binary-fluid critical dynamics, are studied using dynamic field theory and the renormalization group. The system is…

Statistical Mechanics · Physics 2015-06-24 Jaime E. Santos , Uwe C. Tauber

The Ising and BEG models critical behavior is analyzed in 2D and 3D by means of a renormalization group scheme on small clusters made of a few lattice cells. Different kinds of cells are proposed for both ordered and disordered model cases.…

Statistical Mechanics · Physics 2014-12-23 Fabrizio Antenucci , Andrea Crisanti , Luca Leuzzi

Over the last several years, there has been a resurgence of interest in using non-perturbative approximation methods based on Wilson's continuous renormalization group. In this lecture, I review progress particularly in the past year,…

High Energy Physics - Theory · Physics 2007-05-23 Tim R. Morris

We study exact renormalization group equations in the framework of the effective average action. We present analytical approximate solutions for the scale dependence of the potential in a variety of models. These solutions display a rich…

High Energy Physics - Theory · Physics 2016-09-06 D. Litim , N. Tetradis

We study exact renormalization group equations in the framework of the effective average action. We present analytical solutions for the scale dependence of the potential in a variety of models. These solutions display a rich spectrum of…

High Energy Physics - Theory · Physics 2008-11-26 N. Tetradis , D. F. Litim

We present an analytical method, rooted in the non-perturbative renormalization group, that allows one to calculate the critical exponents and the correlation and response functions of the Kardar-Parisi-Zhang (KPZ) growth equation in all…

Statistical Mechanics · Physics 2015-05-28 Léonie Canet , Hugues Chaté , Bertrand Delamotte , Nicolás Wschebor

We develop a perturbative renormalization-group method in real time to describe nonequilibrium properties of discrete quantum systems coupled linearly to an environment. We include energy broadening and dissipation and develop a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Herbert Schoeller , Jürgen König

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found that can be approximated by…

High Energy Physics - Theory · Physics 2009-10-28 Robert J. Perry

We propose a method to solve the Non Perturbative Renormalization Group equations for the $n$-point functions. In leading order, it consists in solving the equations obtained by closing the infinite hierarchy of equations for the $n$-point…

High Energy Physics - Theory · Physics 2009-11-11 J. -P. Blaizot , Ramon Mendez Galain , Nicolas Wschebor

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 critical behavior of three-dimensional weakly diluted quenched Ising model is examined on the base of six-loop renormalization group expansions obtained within the minimal subtraction scheme in $4-\epsilon$ space dimensions. For this…

Statistical Mechanics · Physics 2021-04-29 M. V. Kompaniets , A. Kudlis , A. I. Sokolov

The possibility that non-supersymmetric quiver theories may have a renormalization-group fixed point at which there is conformal invariance requires non-perturbative information.

High Energy Physics - Theory · Physics 2007-05-23 Paul H. Frampton , Peter Minkowski

We review the field-theoretic renormalization-group approach to critical properties of flat polymerized membranes. We start with a presentation of the flexural effective model that is entirely expressed in terms of a transverse (flexural)…

Statistical Mechanics · Physics 2025-09-15 Simon Metayer , Sofian Teber

We investigate the critical properties of d-dimensional magnetic systems with quenched extended defects, correlated in $\epsilon_d$ dimensions (which can be considered as the dimensionality of the defects) and randomly distributed in the…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. Blavatska , C. von Ferber , Yu. Holovatch

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain…

Statistical Mechanics · Physics 2009-11-10 Yurij Holovatch , Dmytro Ivaneyko , Bertrand Delamotte

The contact process and the slightly different susceptible-infected-susceptible model are studied on long-range connected networks in the presence of random transition rates by means of a strong disorder renormalization group method and…

Disordered Systems and Neural Networks · Physics 2015-06-15 R. Juhász , I. A. Kovács

Many quantum mechanical problems (such as dissipative phase fluctuations in metallic and superconducting nanocircuits, or impurity scattering in Luttinger liquids) involve a continuum of bosonic modes with a marginal spectral density…

Strongly Correlated Electrons · Physics 2011-11-07 Axel Freyn , Serge Florens

We consider the two-dimensional randomly site diluted Ising model and the random-bond +-J Ising model (also called Edwards-Anderson model), and study their critical behavior at the paramagnetic-ferromagnetic transition. The critical…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Hasenbusch , F. Parisen Toldin , A. Pelissetto , E. Vicari

A real space Renormalization Group approach is presented for a non-mean field spin-glass. This approach has been conceived in the effort to develop an alternative method to the Renormalization Group approaches based on the replica method.…

Disordered Systems and Neural Networks · Physics 2014-09-09 Michele Castellana