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We analyze the conceptual role of background independence in the application of the effective average action to quantum gravity. Insisting on a background independent renormalization group (RG) flow the coarse graining operation must be…

高能物理 - 理论 · 物理学 2009-10-29 Martin Reuter , Holger Weyer

Renormalization Group (RG) techniques have been successfully employed in quantum field theory and statistical physics. Here we apply RG methods to study the non-linear stages of structure formation in the Universe. Exact equations for the…

天体物理学 · 物理学 2010-10-27 Sabino Matarrese , Massimo Pietroni

Renormalization-group (RG) flow equations have been derived for the generalized sine-Gordon model (GSGM) and the Coulomb gas (CG) in d >= 3 of dimensions by means of Wegner's and Houghton's, and by way of the real-space RG approaches. The…

高能物理 - 理论 · 物理学 2009-11-10 I. Nandori , U. D. Jentschura , K. Sailer , G. Soff

We study the roughening transition of the dual of the 2D XY model, of the Discrete Gaussian model, of the Absolute Value Solid-On-Solid model and of the interface in an Ising model on a 3D simple cubic lattice. The investigation relies on a…

凝聚态物理 · 物理学 2008-11-26 M. Hasenbusch , K. Pinn

We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes,…

统计力学 · 物理学 2008-03-31 Roman Krcmar , Andrej Gendiar , Kouji Ueda , Tomotoshi Nishino

We investigate the holographic Renormalization Group (RG) flows and the critical phenomena that take place in the $QFT$'s dual to the d-dimensional cubic Quasi-Topological Gravity coupled to scalar matter. The knowledge of the corresponding…

高能物理 - 理论 · 物理学 2012-07-10 G. M. Sotkov , U. Camara dS

Non-equilibrium dynamics of classical random Ising spin chains are studied using asymptotically exact real space renormalization group. Specifically the random field Ising model with and without an applied field (and the Ising spin glass…

凝聚态物理 · 物理学 2009-10-31 Daniel S. Fisher , Pierre Le Doussal , Cecile Monthus

The renormalization group (RG) is a class of theoretical techniques used to explain the collective physics of interacting, many-body systems. It has been suggested that the RG formalism may be useful in finding and interpreting emergent…

统计力学 · 物理学 2022-03-23 Adam G. Kline , Stephanie E. Palmer

The quantum critical behavior and the Griffiths-McCoy singularities of random quantum Ising ferromagnets are studied by applying a numerical implementation of the Ma-Dasgupta-Hu renormalization group scheme. We check the procedure for the…

无序系统与神经网络 · 物理学 2009-10-31 Y. -C. Lin , N. Kawashima , F. Igloi , H. Rieger

We study inflation as a "cosmic" renormalization-group flow. The flow, which encodes the dependence on the background metric, is described by a running coupling $\alpha $, which parametrizes the slow roll, a de Sitter free, analytic beta…

高能物理 - 理论 · 物理学 2021-11-02 Damiano Anselmi , Filippo Fruzza , Marco Piva

First, we reformulate RG transformations in a recursive way with introduction of an order-parameter field. As a result, we manifest the RG flow of an effective field theory through the emergence of an extra dimensional space, where both RG…

强关联电子 · 物理学 2020-08-05 Ki-Seok Kim

The application of Wilson's Numerical Renormalization Group (NRG) method to dissipative quantum impurity models, in particular the sub-ohmic spin-boson model, has led to conclusions regarding the quantum critical behavior which are in…

统计力学 · 物理学 2012-03-16 Matthias Vojta

We describe a modified transfer matrix renormalization group (TMRG) algorithm and apply it to calculate thermodynamic properties of the one-dimensional t-J model. At the supersymmetric point we compare with Bethe ansatz results and make…

强关联电子 · 物理学 2007-05-23 J. Sirker , A. Klümper

In hep-th/0311177, the Large $N$ renormalization group (RG) flows of a modified matrix quantum mechanics on a circle, capable of capturing effects of nonsingets, were shown to have fixed points with negative specific heat. The corresponding…

高能物理 - 理论 · 物理学 2008-11-26 Satabhisa Dasgupta , Tathagata Dasgupta

We investigate the low-temperature critical behavior of the three dimensional random-field Ising ferromagnet. By a scaling analysis we find that in the limit of temperature $T \to 0$ the usual scaling relations have to be modified as far as…

无序系统与神经网络 · 物理学 2015-06-25 U. Nowak , K. D. Usadel , J. Esser

We study by the strong disorder renormalization group (RG) method the low-energy properties of the one-dimensional Hubbard model with random-hopping matrix-elements $t_{min}<t<t_{max}$, and with random on-site Coulomb repulsion terms $0 \le…

无序系统与神经网络 · 物理学 2007-05-23 R. Mélin , F. Iglói

We consider the network model of the integer quantum Hall effect transition. By generalizing the real--space renormalization group procedure for the classical percolation to the case of quantum percolation, we derive a closed…

介观与纳米尺度物理 · 物理学 2009-10-30 A. G. Galstyan , M. E. Raikh

We have adjusted the Density Matrix Renormalization method to handle two dimensional systems of limited width. The key ingredient for this extension is the incorporation of symmetries in the method. The advantage of our approach is that we…

统计力学 · 物理学 2009-10-30 M. S. L. du Croo de Jongh , J. M. J. van Leeuwen

A perturbative renormalization group (RG) scheme for light-front Hamiltonian is formulated on the basis of the Bloch-Horowitz effective Hamiltonian, and applied to the simplest $\phi^4$ model with spontaneous breaking of the $Z_2$ symmetry.…

高能物理 - 理论 · 物理学 2009-10-28 Takanori Sugihara , Masanobu Yahiro

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…

高能物理 - 格点 · 物理学 2009-10-28 Jan Ambjorn , Piotr Bialas , Jerzy Jurkiewicz