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The real-space renormalization group (RSRG) method introduced previously for the Brownian landscape is generalized to obtain the joint probability distribution of the subset of the important extrema at large scales of other one-dimensional…

无序系统与神经网络 · 物理学 2009-11-07 P. Le Doussal , C. Monthus

For arbitrary networks of random masses connected by random springs, we define a general strong disorder real-space renormalization (RG) approach that generalizes the procedures introduced previously by Hastings [Phys. Rev. Lett. 90, 148702…

无序系统与神经网络 · 物理学 2011-02-03 Cecile Monthus , Thomas Garel

We use a real-space renormalization group (RSRG) to study the low temperature dynamics of kinetically constrained Ising chains (KCICs). We consider the cases of the Fredrickson-Andersen (FA) model, the East model, and the partially…

统计力学 · 物理学 2009-11-10 Stephen Whitelam , Juan P. Garrahan

We apply the functional Renormalisation Group (fRG) to study relaxation in a stochastic process governed by an overdamped Langevin equation with one degree of freedom, exploiting the connection with supersymmetric quantum mechanics in…

统计力学 · 物理学 2023-06-06 Ashley Wilkins , Gerasimos Rigopoulos , Enrico Masoero

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

Following an approach of Matarrese and Pietroni, we derive the functional renormalization group (RG) flow of the effective action of cosmological large-scale structures. Perturbative solutions of this RG flow equation are shown to be…

宇宙学与河外天体物理 · 物理学 2017-02-01 Stefan Floerchinger , Mathias Garny , Nikolaos Tetradis , Urs Achim Wiedemann

We investigate the renormalization group (RG) flow of SU(3) lattice gauge theory in a two coupling space with couplings $\beta_{11}$ and $\beta_{12}$ corresponding to $1\times 1$ and $1\times 2$ loops respectively. Extensive numerical…

The phase structure of the bosonized multi-flavor Schwinger model is investigated by means of the differential renormalization group (RG) method. In the limit of small fermion mass the linearized RG flow is sufficient to determine the…

高能物理 - 理论 · 物理学 2008-11-26 I. Nandori

We extend the Wilson renormalization group (RG) to supersymmetric theories. As this regularization scheme preserves supersymmetry, we exploit the superspace technique. To set up the formalism we first derive the RG flow for the massless…

高能物理 - 理论 · 物理学 2009-10-31 M. Bonini , F. Vian

U(1) lattice gauge theory with $\theta$-term is investigated by real space renormalization group approach. Flows of renormalized coupling constants are analyzed. For each $\theta$, renormalization flows converge to a single trajectory…

高能物理 - 格点 · 物理学 2017-03-08 Ahmed Sayed HASSAN , Masahiro IMACHI , Hiroshi YONEYAMA

We study the renormalization group flow of the Euclidean Engle-Pereira-Rovelli-Livine and Freidel-Krasnov (EPRL-FK) spin foam model in the large-$j$-limit. The vertex amplitude is deformed to include a cosmological constant term. The state…

广义相对论与量子宇宙学 · 物理学 2019-01-11 Benjamin Bahr , Giovanni Rabuffo , Sebastian Steinhaus

The renormalization group (RG) method as a powerful tool for reduction of evolution equations is formulated in terms of the notion of invariant manifolds. We start with derivation of an exact RG equation which is analogous to the Wilsonian…

高能物理 - 理论 · 物理学 2016-09-06 S. -I. Ei , K. Fujii , T. Kunihiro

Within the framework of field-theoretical description of second-order phase transitions via the 3-dimensional O(N) vector model, accurate predictions for critical exponents can be obtained from (resummation of) the perturbative series of…

统计力学 · 物理学 2011-02-16 Riccardo Guida , Paolo Ribeca

We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $\beta$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not…

高能物理 - 唯象学 · 物理学 2024-03-12 Koichi Funakubo , Eibun Senaha

The $SU(2)_A \times U(2)_V$-symmetric chiral linear sigma model in the presence of the axial anomaly is studied in the local-potential approximation of the Functional Renormalization Group (FRG). The renormalization group (RG) flow is…

高能物理 - 理论 · 物理学 2014-10-07 Mara Grahl , Dirk H. Rischke

We study weakly-repulsive Bose-Bose mixtures in two and three dimensions at zero temperature using the functional renormalization group (FRG). We examine the RG flows and the role of density and spin fluctuations. We study the condition for…

量子气体 · 物理学 2021-01-26 Felipe Isaule , Ivan Morera , Artur Polls , Bruno Juliá-Díaz

We study a large class of 1D reaction diffusion models with quenched disorder using a real space renormalization group method (RSRG) which yields exact results at large time. Particles (e.g. of several species) undergo diffusion with random…

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

A nonconventional renormalization-group (RG) treatment close to and below four dimensions is used to explore, in a unified and systematic way, the low-temperature properties of a wide class of systems in the influence domain of their…

统计力学 · 物理学 2009-11-13 M. T. Mercaldo , L. De Cesare , I. Rabuffo , A. Caramico D'Auria

We develop a new formulation of the functional renormalization group (RG) for interacting fermions. Our approach unifies the purely fermionic formulation based on the Grassmannian functional integral, which has been used in recent years by…

强关联电子 · 物理学 2007-05-23 Florian Schuetz , Lorenz Bartosch , Peter Kopietz

The renormalization group method is applied in order to analyze models E and F of critical dynamics in the presence of velocity fluctuations generated by the stochastic Navier-Stokes equation. Results are given to the one-loop approximation…

统计力学 · 物理学 2017-05-08 M. Dančo , M. Hnatič , M. V. Komarova , T. Lučivjanský , M. Yu. Nalimov