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The renormalization group (RG) equation in the self-consistent local potential approximation (SC-LPA) suggested earlier for the description of continuous phase transitions in lattice models of the Landau-Ginzburg type has been applied to…

统计力学 · 物理学 2021-03-24 V. I. Tokar

Within a self-consistent proper-time Renormalization Group (RG) approach we investigate an effective QCD trace anomaly realization with dilatons and determine the finite-temperature behavior of the gluon condensate. Fixing the effective…

高能物理 - 理论 · 物理学 2009-11-07 B. -J. Schaefer , O. Bohr , J. Wambach

In this paper we employ the Renormalization Group (RG) method to study higher order corrections to the long-time asymptotics of a class of nonlinear integral equations with a generalized heat kernel and with time-dependent coefficients.…

We present a numerical implementation of the renormalization group (RG) for partial differential equations, constructing similarity solutions and travelling waves. We show that for a large class of well-localized initial conditions,…

chao-dyn · 物理学 2009-10-22 Lin-Yuan Chen , Nigel Goldenfeld

We focus on two real-space renormalization-group (RG) methods recently proposed for a hierarchical model of a spin glass: A sample-by-sample method, in which the RG transformation is performed separately on each disorder sample, and an…

无序系统与神经网络 · 物理学 2019-10-11 Michele Castellana

We discuss the averaging hypothesis tacitly assumed in standard cosmology. Our approach is implemented in a "3+1" formalism and invokes the coarse graining arguments, provided and supported by the real-space Renormalization Group (RG)…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Mauro Carfora , Kamilla Piotrkowska

The momentum-shell renormalization group (RG) is used to study the condensation of interacting Bose gases without and with disorder. First of all, for the homogeneous disorder-free Bose gas the interaction-induced shifts in the critical…

统计力学 · 物理学 2007-05-23 O. Zobay

We present a variational renormalization group (RG) approach using a deep generative model based on normalizing flows. The model performs hierarchical change-of-variables transformations from the physical space to a latent space with…

统计力学 · 物理学 2018-12-31 Shuo-Hui Li , Lei Wang

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,…

高能物理 - 理论 · 物理学 2023-03-09 Ki-Seok Kim , Mitsuhiro Nishida , Yoonseok Choun

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…

无序系统与神经网络 · 物理学 2014-04-02 Aurélien Decelle , Giorgio Parisi , Jacopo Rocchi

We derive generic relativistic hydrodynamical equations with dissipative effects from the underlying Boltzmann equation in a mechanical and systematic way on the basis of so called the renormalization-group (RG) method. A macroscopic frame…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Tsumura , T. Kunihiro , K. Ohnishi

New qualitative picture of vortex length-scale dependence has been found in recent electrical transport measurements performed on strongly anisotropic BSCCO single crystals in zero magnetic field. This indicates the need for a better…

高能物理 - 理论 · 物理学 2009-11-11 I. Nandori , K. Sailer

The Numerical Renormalization Group method (NRG) has been developed by Wilson in the 1970's to investigate the Kondo problem. The NRG allows the non-perturbative calculation of static and dynamic properties for a variety of impurity models.…

强关联电子 · 物理学 2009-10-31 R. Bulla

The Renormalization Group (RG) is a set of methods that have been instrumental in tackling problems involving an infinite number of degrees of freedom. What all these methods have in common -- which is what explains their success -- is that…

统计力学 · 物理学 2020-04-30 Pedro Pessoa , Ariel Caticha

The Lie-group approach to the perturbative renormalization group (RG) method is developed to obtain an asymptotic solutions of both autonomous and non-autonomous ordinary differential equations. Reduction of some partial differetial…

patt-sol · 物理学 2009-10-31 Shin-itiro Goto , Yuji Masutomi , Kazuhiro Nozaki

The renormalization group (RG) flow for the two-dimensional sine-Gordon model is determined by means of Polchinski's RG equation at next-to-leading order in the derivative expansion. In this work we have two different goals, (i) to consider…

高能物理 - 理论 · 物理学 2008-11-26 I. Nandori , K. Sailer , U. D. Jentschura , G. Soff

The renormalization of the periodic potential is investigated in the framework of the Euclidean one-component scalar field theory by means of the differential RG approach. Some known results about the sine-Gordon model are recovered in an…

高能物理 - 理论 · 物理学 2009-10-31 I. Nandori , J. Polonyi , K. Sailer

We present an alternative functional renormalization group (fRG) approach to the single-impurity Anderson model at finite temperatures. Starting with the exact self-energy and interaction vertex of a small system ('core') containing a…

强关联电子 · 物理学 2013-01-11 Michael Kinza , Jutta Ortloff , Johannes Bauer , Carsten Honerkamp

It is argued that cluster methods provide a viable alternative to Wilson's momentum shell integration technique at the early stage of renormalization in the field-theoretic models with strongly coupled fields because these methods allow for…

统计力学 · 物理学 2016-06-23 V. I. Tokar

The renormalization group (RG) method is extended for global asymptotic analysis of discrete systems. We show that the RG equation in the discretized form leads to difference equations corresponding to the Stuart-Landau or Ginzburg-Landau…

patt-sol · 物理学 2009-10-30 T. Kunihiro , J. Matsukidaira