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An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-dimensional classical models. In the case of a square…

Statistical Mechanics · Physics 2018-03-23 Satoshi Morita , Ryo Igarashi , Hui-Hai Zhao , Naoki Kawashima

Functional renormalisation group approach is applied to a system of kaons with finite chemical potential. A set of approximate flow equations for the effective couplings is derived and solved. At high scale the system is found to be at the…

Nuclear Theory · Physics 2017-06-07 Boris Krippa

This is an expository account of Balaban's approach to the renormalization group. The method is illustrated with a treatment of the ultraviolet problem for the scalar phi^4 model on a toroidal lattice in dimension d=3. In this third paper…

Mathematical Physics · Physics 2015-06-15 J. Dimock

Over the last several years, there has been a resurgence of interest in using non-perturbative approximation methods based on Wilson's continuous renormalization group. In this lecture, I review progress particularly in the past year,…

High Energy Physics - Theory · Physics 2007-05-23 Tim R. Morris

We show that in a large class of models based on anomalous U(1) symmetry which addresses the fermion mass hierarchy problem, leptonic flavor changing processes are induced that are in the experimentally interesting range. The flavor…

High Energy Physics - Phenomenology · Physics 2015-06-25 K. S. Babu , Ts. Enkhbat , I. Gogoladze

For certain hierarchical structures, one can study the percolation problem using the renormalization-group method in a very precise way. We show that the idea can be also applied to two-dimensional planar lattices by regarding them as…

Statistical Mechanics · Physics 2011-05-06 Seung Ki Baek , Petter Minnhagen

We consider the renormalization group evolution for the operators in the $\Delta S=1$ effective Hamiltonian with 3 active quark flavors, which is needed in the numerical analysis of data sets for $\epsilon'/\epsilon$ calculated in lattice…

High Energy Physics - Lattice · Physics 2009-04-14 David H. Adams , Weonjong Lee

The renormalization group is used to resum leading logarithmic contributions of the form alpha_s^{n+1} beta_0^n log^n (Delta/mu) to the gap equation appropriate for high density QCD. The scale dependence of the strong coupling constant…

Nuclear Theory · Physics 2009-11-06 Silas R. Beane , Paulo F. Bedaque , Martin J. Savage

A recently proposed renormalization group approach to dimensional crossover in quasi-one-dimensional quantum antiferromagnets is improved and then shown to give identical results, in some cases, to those obtained earlier.

Condensed Matter · Physics 2008-11-26 Ian Affleck , Bertrand I. Halperin

We study a finite SU(5) grand unified model based on the non-Abelian discrete symmetry A_4. This model leads to the democratic structure of the mass matrices for the quarks and leptons. In the soft supersymmetry breaking sector, the scalar…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. S. Babu , Tatsuo Kobayashi , Jisuke Kubo

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.

High Energy Physics - Phenomenology · Physics 2023-11-14 M. S. A. Alam Khan

Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the…

High Energy Physics - Theory · Physics 2007-05-23 Daniel F. Litim

We show that the Renormalization Group formalism allows to compute with accuracy the zero temperature correlation functions and particle densities of quantum systems.

Quantum Physics · Physics 2009-11-06 Pierre Gosselin , Herve Mohrbach

In this paper, we study renormalization, that is, the procedure for eliminating singularities, for a special model using both combinatorial techniques in the framework of working with formal series, and using a limit transition in a…

Mathematical Physics · Physics 2025-08-26 A. V. Ivanov

We investigate the options for imposing flavor symmetries on a minimal renormalizable non-supersymmetric $\mathrm{SU}(5)$ grand unified theory, without introducing additional flavor-related fields. Such symmetries reduce the number of free…

High Energy Physics - Phenomenology · Physics 2022-01-07 Malte Lindestam , Tommy Ohlsson , Marcus Pernow

The search for supersymmetry (SUSY) and other classes of new physics will be tackled on two fronts, with high energy, direct detection machines, and in high precision experiments searching for indirect signatures. While each of these…

High Energy Physics - Phenomenology · Physics 2009-02-26 Brian Dudley , Christopher Kolda

We propose and study a renormalization group transformation that can be used also for models with strong quenched disorder, like spin glasses. The method is based on a mapping between disorder distributions, chosen such as to keep some…

Disordered Systems and Neural Networks · Physics 2013-04-30 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

Lepton flavor and CP violation in supersymmetric models are briefly reviewed. After a short motivation and an introduction to the phenomenology, model independent constraints on mass insertions, predictions of SUSY GUT models and rates for…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. I. Illana , M. Masip

In the minimal supersymmetric standard model, we have studied the evolution of the neutrino flavor mixing by using the renormalization group equation(RGE) with the Georgi-Jarlskog texture for the Yukawa coupling matrices.For the large…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Tanimoto

The perturbative renormalization group(RG) equation is applied to resum divergent series of perturbative wave functions of quantum anharmonic oscillator. It is found that the resummed series gives the cumulant of the naive perturbation…

High Energy Physics - Theory · Physics 2009-09-25 Teiji Kunihiro