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Chiral symmetry breaking in a purely fermionic theory is investigated by the help of the renormalization group method. The RG equation for the running mass $m_k$ admits a solution with vanishing bare mass and finite physical mass. The…

高能物理 - 唯象学 · 物理学 2011-08-17 Vincenzo Branchina

We use renormalization group summed perturbation theory (RGSPT) to improve perturbation series in quantum chromodynamics in the determination of some of the standard model parameters.

高能物理 - 唯象学 · 物理学 2023-11-14 M. S. A. Alam Khan

The renormalization group (RG) constitutes a fundamental framework in modern theoretical physics. It allows the study of many systems showing states with large-scale correlations and their classification in a relatively small set of…

统计力学 · 物理学 2024-09-04 Guido Caldarelli , Andrea Gabrielli , Tommaso Gili , Pablo Villegas

Discretization of continuous stochastic processes is needed to numerically simulate them or to infer models from experimental time series. However, depending on the nature of the process, the same discretization scheme, if not accurate…

We derive constraints on renormalization group (RG) flows and stability of phases in nonequilibrium systems using quantum information inequalities. These constraints involve conditional mutual information (CMI), which quantifies…

统计力学 · 物理学 2026-02-06 Yu-Hsueh Chen , Tarun Grover

The renormalization group transformation for extreme value statistics of independent, identically distributed variables, recently introduced to describe finite size effects, is presented here in terms of a partial differential equation…

统计力学 · 物理学 2011-01-06 Eric Bertin , Géza Györgyi

Using the example of configurations generated with the worm algorithm for the two-dimensional Ising model, we propose renormalization group (RG) transformations, inspired by the tensor RG, that can be applied to sets of images. We relate…

高能物理 - 格点 · 物理学 2021-01-01 Samuel Foreman , Joel Giedt , Yannick Meurice , Judah Unmuth-Yockey

We study the distribution of dynamical quantities in various one-dimensional, disordered models the critical behavior of which is described by an infinite randomness fixed point. In the {\it disordered contact process}, the quenched…

无序系统与神经网络 · 物理学 2015-06-18 Róbert Juhász

We consider the most general scale invariant radial Hamiltonian allowing for anisotropic scaling between space and time. We formulate a renormalisation group analysis of this system and demonstrate the existence of a quantum phase…

高能物理 - 理论 · 物理学 2018-10-17 Daniel K. Brattan , Omrie Ovdat , Eric Akkermans

We show that the Wilsonian renormalization group (RG) provides a natural regularisation of the Quantum Master Equation such that to first order the BRST algebra closes on local functionals spanned by the eigenoperators with constant…

高能物理 - 理论 · 物理学 2018-10-31 Tim R. Morris

We discuss general aspects of renormalization group (RG) flows between two conformal fixed points in 4d with a broken continuous global symmetry in the UV. Every such RG flow can be described in terms of the dynamics of Nambu-Goldstone…

高能物理 - 理论 · 物理学 2021-12-06 Sandipan Kundu

In the presence of randomness, a relativistic semimetal undergoes a quantum transition towards a diffusive phase. A standard approach relates this transition to the $U(N)$ Gross-Neveu model in the limit of $N \to 0$. We show that the…

无序系统与神经网络 · 物理学 2018-10-24 Ivan Balog , David Carpentier , Andrei A. Fedorenko

We discuss the quantum mechanics of a particle restricted to the half-line $x > 0$ with potential energy $V = \alpha/x^2$ for $-1/4 < \alpha < 0$. It is known that two scale-invariant theories may be defined. By regularizing the near-origin…

量子物理 · 物理学 2021-02-02 Steve T. Paik

We analyze the renormalization group fixed point of the two-dimensional Ising model at criticality. In contrast with expectations from tensor network renormalization (TNR), we show that a simple, explicit analytic description of this fixed…

数学物理 · 物理学 2023-04-07 Tobias J. Osborne , Alexander Stottmeister

Building on the Renormalization Group (RG) method the beam-beam interaction in circular colliders is studied. A regularized symplectic RG beam-beam map, that describes successfully the long-time asymptotic behavior of the original system…

加速器物理 · 物理学 2007-05-23 Stephan I. Tzenov

We propose a simple modification of the density matrix renormalization group (DMRG) method in order to tackle strongly disordered quantum spin chains. Our proposal, akin to the idea of the adaptive time-dependent DMRG, enables us to reach…

强关联电子 · 物理学 2018-11-14 J. C. Xavier , J. A. Hoyos , E. Miranda

We set up the Functional Renormalisation Group formalism for Tensorial Group Field Theory in full generality. We then apply it to a rank-3 model over U(1) x U(1) x U(1), endowed with a linear kinetic term and nonlocal interactions. The…

高能物理 - 理论 · 物理学 2015-07-09 Dario Benedetti , Joseph Ben Geloun , Daniele Oriti

A renormalization group (RG) analysis of the superconductive instability of an anisotropic fermionic system is developed at a finite temperature. The method appears a natural generalization of Shankar's approach to interacting fermions and…

凝聚态物理 · 物理学 2009-10-28 Fabio Siringo , Giuseppe G. N. Angilella , Renato Pucci

The famous Bernoulli shift (or dyadic transformation) is perhaps the simplest deterministic dynamical system exhibiting chaotic dynamics. It is a piecewise linear time-discrete map on the unit interval with a uniform slope larger than one,…

混沌动力学 · 物理学 2024-04-30 Jin Yan , Moitrish Majumdar , Stefano Ruffo , Yuzuru Sato , Christian Beck , Rainer Klages

We consider random walk on a mildly random environment on finite transitive d- regular graphs of increasing girth. After scaling and centering, the analytic spectrum of the transition matrix converges in distribution to a Gaussian noise. An…

概率论 · 数学 2011-11-10 Dimitrios Cheliotis , Balint Virag
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