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It is shown that previous arguments leading to the equality $z=d$ ($d$ being the spatial dimensionality) for the dynamical exponent describing the Bose glass to superfluid transition may break down, as apparently seen in recent simulations…

无序系统与神经网络 · 物理学 2007-05-23 Peter B. Weichman , Ranjan Mukhopadhyay

This brief review introduces the method and application of real-space renormalization group to strongly disordered quantum systems. The focus is on recent applications of the strong disorder renormalization group to the physics of…

无序系统与神经网络 · 物理学 2014-02-26 Gil Refael , Ehud Altman

The renormalization group method is applied to the study of homogeneous and flat Friedmann-Robertson-Walker type Universes, filled with a causal bulk viscous cosmological fluid. The starting point of the study is the consideration of the…

广义相对论与量子宇宙学 · 物理学 2009-09-25 J. A. Belinchon , T. Harko , M. K. Mak

The well-known phase structure of the two-dimensional sine-Gordon model is reconstructed by means of its renormalization group flow, the study of the sensitivity of the dynamics on microscopic parameters. Such an analysis resolves the…

高能物理 - 理论 · 物理学 2008-11-26 S. Nagy , I. Nandori , J. Polonyi , K. Sailer

We analyze the one-dimensional (1D) and the two-dimensional (2D) repulsive Hubbard models (HM) for densities slightly away from half-filling through the behavior of two central quantities of a system: the uniform charge and spin…

强关联电子 · 物理学 2009-11-11 Hermann Freire , Eberth Correa , Alvaro Ferraz

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…

统计力学 · 物理学 2009-10-31 Andrej Gendiar , Anton Surda

We find a new solution of the renormalization group for the Potts model with ferromagnetic random valued coupling constants. The solution exhibits universality and broken replica symmetry. It is argued that the model reaches this…

高能物理 - 理论 · 物理学 2016-09-06 Viktor Dotsenko , Vladimir Dotsenko , Marco Picco , Pierre Pujol

We study the renormalization group flows of two-dimensional metrics in sigma models and demonstrate that they provide a continual analogue of the Toda field equations based on the infinite dimensional algebra G(d/dt;1). The resulting Toda…

高能物理 - 理论 · 物理学 2009-11-10 Ioannis Bakas

The critical behaviour of the randomly spin-diluted Ising model in two space dimensions is investigated by a new method which combines a grand ensemble approach to disordered systems proposed by Morita with the phenomenological…

凝聚态物理 · 物理学 2009-10-22 R. Kühn

A pair of recent Monte Carlo studies have reported evidence for and against a crossover from weak to strong-disorder criticality in the one-dimensional dirty boson problem. The Monte Carlo analyses rely on measurement of two observables:…

无序系统与神经网络 · 物理学 2013-12-16 Shankar Iyer , David Pekker , Gil Refael

The renormalization group functions are calculated in $D=4-\epsilon$ dimensions for the $\phi^4$-theory with two coupling constants associated with an ${O}(N)$-symmetric and a cubic interaction. Divergences are removed by minimal…

凝聚态物理 · 物理学 2009-10-28 H. Kleinert , V. Schulte-Frohlinde

We investigate the critical behavior of pion superfluidity in the frame of functional renormalization group. By solving the flow equation in the SU(2) linear sigma model with pion superfluidity at finite temperature and isospin density, and…

高能物理 - 唯象学 · 物理学 2016-11-03 Ziyue Wang , Pengfei Zhuang

The Schwinger-Keldysh functional renormalization group (fRG) developed in [1] is employed to investigate critical dynamics related to a second-order phase transition. The effective action of model A is expanded to the order of…

高能物理 - 唯象学 · 物理学 2023-12-12 Yong-rui Chen , Yang-yang Tan , Wei-jie Fu

Two replicas of a 2D Ising model are coupled by frustrated spin-spin interactions. It is known that this inter-layer coupling is marginal and that the bulk critical behavior belongs to the Ashkin-Teller (AT) universality class, as the…

统计力学 · 物理学 2026-05-06 Christophe Chatelain

We study scaling properties of the model of fully developed turbulence for a compressible fluid, based on the stochastic Navier-Stokes equation, by means of the field theoretic renormalization group (RG). The scaling properties in this…

统计力学 · 物理学 2016-11-07 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský

We study the replica field theory which describes the pinning of elastic manifolds of arbitrary internal dimension d in a random potential, with the aim of bridging the gap between mean field and renormalization theory. The full effective…

凝聚态物理 · 物理学 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese

Dimensional reduction of (super-)gravity theories to 3 dimensions results in sigma models on coset spaces G/H, such as the E_8/SO(16) coset in the bosonic sector of 3 dimensional maximal supergravity. The reverse process, oxidation, is the…

高能物理 - 理论 · 物理学 2009-11-07 Arjan Keurentjes

We review the application of the critical point large N_f self-consistency method to QCD. In particular we derive the O(1/N_f) d-dimensional critical exponents whose epsilon-expansion determines the perturbative coefficients in MSbar of the…

高能物理 - 理论 · 物理学 2007-05-23 J. A. Gracey

The critical behavior of d-dimensional systems with an n-component order parameter is reconsidered at (m,d,n)-Lifshitz points, where a wave-vector instability occurs in an m-dimensional subspace of ${\mathbb R}^d$. Our aim is to sort out…

统计力学 · 物理学 2008-12-18 H. W. Diehl , M. Shpot

We describe the generalization of Wilson's Numerical Renormalization Group method to quantum impurity models with a bosonic bath, providing a general non-perturbative approach to bosonic impurity models which can access exponentially small…

统计力学 · 物理学 2007-05-23 Ralf Bulla , Ning-Hua Tong , Matthias Vojta