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We have developed a non-perturbative functional renormalization group approach for the random field O(N) model (RFO(N)M) that allows us to investigate the ordering transition in any dimension and for any value of N including the Ising case.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Gilles Tarjus , Matthieu Tissier

In the present paper we utilize the renormalization group(RG) technique to analyse the Ising critical behavior in the double frequency sine-Gordon model. The one-loop RG equations obtained show unambiguously that there exist two Ising…

Strongly Correlated Electrons · Physics 2007-05-23 Fei Ye , Guo-Hui Ding , Bo-Wei Xu

The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is active, that is, influencing the dynamics of the fluid…

Statistical Mechanics · Physics 2021-09-15 N. V. Antonov , M. M. Kostenko

A study of the renormalization group flow in the three-dimensional nonlinear O(N) sigma model using Monte Carlo Renormalization Group (MCRG) techniques is presented. To achieve this, we combine an improved blockspin transformation with the…

High Energy Physics - Lattice · Physics 2013-10-31 Daniel Koerner , Bjoern H. Wellegehausen , Andreas Wipf

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

Statistical Mechanics · Physics 2020-09-22 Sudip Mukherjee , Abhik Basu

Critical behaviour of a nearly critical system, subjected to vivid turbulent mixing, is studied by means of the field theoretic renormalization group. Namely, relaxational stochastic dynamics of a non-conserved order parameter of the…

Statistical Mechanics · Physics 2015-03-20 N. V. Antonov , A. S. Kapustin

Implementing the Wilsonian renormalization group (RG) transformation in a nonperturbative way, we construct an effective holographic dual description with an emergent extradimension identified with an RG scale. Taking the large$-N$ limit,…

High Energy Physics - Theory · Physics 2023-03-09 Ki-Seok Kim , Mitsuhiro Nishida , Yoonseok Choun

Analytic phenomenological scaling is carried out for the random field Ising model in general dimensions using a bar geometry. Domain wall configurations and their decorated profiles and associated wandering and other exponents…

Condensed Matter · Physics 2009-10-28 R. B. Stinchcombe , E. D. Moore , S. L. A. de Queiroz

We study exact renormalization group (RG) in O(4) gauged supergravity using the effective average action formalism. The nonperturbative RG equations for cosmological and newtonian coupling constants are found. It is shown the existence of…

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

We investigate the critical properties of the three-dimensional (3D) antiferromagnetic RP(N-1}) model, which is characterized by a global O(N) symmetry and a discrete Z_2 gauge symmetry. We perform a field-theoretical analysis using the…

Statistical Mechanics · Physics 2018-01-24 Andrea Pelissetto , Antonio Tripodo , Ettore Vicari

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

The critical behavior of the two-dimensional N-vector cubic model is studied within the field-theoretical renormalization-group (RG) approach. The beta-functions and critical exponents are calculated in the five-loop approximation, RG…

Statistical Mechanics · Physics 2016-08-31 P. Calabrese , E. V. Orlov , D. V. Pakhnin , A. I. Sokolov

We study the critical behaviour of a model with non-dissipative couplings aimed at describing the collective behaviour of natural swarms, using the dynamical renormalization group. At one loop, we find a crossover between a conservative yet…

Statistical Mechanics · Physics 2020-01-01 Andrea Cavagna , Luca Di Carlo , Irene Giardina , Luca Grandinetti , Tomas S. Grigera , Giulia Pisegna

The density matrix renormalization group (DMRG) is applied to some one-dimensional reaction-diffusion models in the vicinity of and at their critical point. The stochastic time evolution for these models is given in terms of a non-symmetric…

Statistical Mechanics · Physics 2011-10-11 Enrico Carlon , Malte Henkel , Ulrich Schollwoeck

The Density Matrix Renormalization Group (DMRG) method with periodic boundary conditions is introduced for two dimensional classical spin models. It is shown that this method is more suitable for derivation of the properties of infinite 2D…

Statistical Mechanics · Physics 2009-10-31 Andrej Gendiar , Anton Surda

We develop a renormalization group (RG) description of the localization properties of onedimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit cell of subsequent commensurate approximants. Phases of…

Disordered Systems and Neural Networks · Physics 2023-10-10 Miguel Gonçalves , Bruno Amorim , Eduardo V. Castro , Pedro Ribeiro

Based on dynamical renormalization group (RG) calculations to the one-loop order, the surface growth described by a nonlinear stochastic conserved growth equation, {\partial h \over \partial t} = \pm \nu_2 \nabla^2 h + \lambda\nabla \cdot…

Condensed Matter · Physics 2016-08-31 Youngkyun Jung , In-mook Kim , Yup Kim

We analyze the renormalization-group (RG) flows of two effective Lagrangians, one for measurement induced transitions of monitored quantum systems and one for entanglement transitions in random tensor networks. These Lagrangians, previously…

Statistical Mechanics · Physics 2024-09-20 Adam Nahum , Kay Joerg Wiese

A general analysis of line defect renormalisation group (RG) flows in the $\varepsilon$ expansion below $d=4$ dimensions is undertaken. The defect beta function for general scalar-fermion bulk theories is computed to next-to-leading order…

High Energy Physics - Theory · Physics 2023-07-26 William H. Pannell , Andreas Stergiou

Non-Fermi liquids in $d>2$ remain poorly understood, particularly when relevant perturbations destabilize them. In one spatial dimension, chirally stabilized fixed points provide a rare class of analytically tractable non-Fermi-liquid…

Strongly Correlated Electrons · Physics 2026-03-26 Aleksandar Ljepoja , L. C. R. Wijewardhana , Yashar Komijani
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