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We comment on a recent puzzle regarding renormalization group invariance of exact results in SUSY theories, and argue that a purported renormalization of the dynamical scale \Lambda does not in fact occur.

High Energy Physics - Theory · Physics 2008-02-03 D. Finnell

A new method, called the method of self-similar approximants, and its recent developments are described. The method is based on the ideas of renormalization group theory and optimal control theory. It allows for the effective extrapolation…

Mathematical Physics · Physics 2025-05-20 V. I. Yukalov , E. P. Yukalova

A renormalization group transformation suitable for spin glass models and, more generally, for disordered models, is presented. The procedure is non-standard in both the nature of the additional interactions and the coarse graining…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Parisi , R. Petronzio , F. Rosati

The renormalization of theories with flavor mixing is discussed, and it is shown that the physical unstable particles should be interpreted as quasiparticles which cannot be regarded as external states. Several popular beliefs on…

High Energy Physics - Phenomenology · Physics 2020-11-12 Chang-Hun Lee

There are reasons to believe that the Standard Model is only an effective theory, with new Physics lying beyond it. Supersymmetric extensions are one possibility: they address some of the Standard Model's shortcomings, such as the…

High Energy Physics - Phenomenology · Physics 2013-10-07 Renato M. Fonseca

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.…

Mathematical Physics · Physics 2025-07-04 Gastão A. Braga , Jussara M. Moreira , Antônio Marcos da Silva , Camila F. Souza

A simple backreaction problem in quantum mechanics, the full quantum anharmonic oscillator, and quantum parametric resonance are studied using Renormalization Group techniques for global asymptotic analysis. In this short note this…

High Energy Physics - Theory · Physics 2017-02-16 I. L. Egusquiza , M. A. Valle-Basagoiti

The exact renormalization group is applied to a nonlinear diffusion equation with a discontinuous diffusion coefficient. The generating functional of the solution for the initial-value problem of nonlinear diffusion equations is first…

Statistical Mechanics · Physics 2009-11-11 S. Yoshida , T. Fukui

The supersymmetric flavor problem is elegantly solved by the decoupling scenario, where the first-two generation sfermions are much heavier than the third generation ones. However, such a mass spectrum is not stable against renormalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yasunori Nomura

The renormalization group method has been adapted to the analysis of the long-time behavior of non-linear partial differential equation and has demonstrated its power in the study of critical phenomena of gravitational collapse. In the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Osamu Iguchi , Akio Hosoya , Tatsuhiko Koike

In the Minimal Supersymmetric Standard Model (MSSM), there are numerous sources of flavour-violation in addition to the usual Kobayashi-Maskawa mixing matrix of the Standard Model. We reexamine the renormalisation group equations (RGEs)…

High Energy Physics - Phenomenology · Physics 2008-11-18 Andrew D. Box

(Short Description) We use a large N renormalization group method to study a model of interacting boson system with a quenched random potential.

Condensed Matter · Physics 2009-10-22 Yong Baek Kim , Xiao-Gang Wen

A block spin renormalization group approach is introduced which can be applied to dynamical triangulations in any dimension.

High Energy Physics - Lattice · Physics 2009-10-28 Ray L. Renken

We generalize the two-loop renormalization group equations for the parameters of the softly broken SUSY gauge theories given in the literature to the most general case when the gauge group contains more than a single abelian gauge factor.…

High Energy Physics - Phenomenology · Physics 2012-09-20 Renato M. Fonseca , Michal Malinsky , Werner Porod , Florian Staub

Using a set of rephasing-invariant variables, it is shown that the renormalization group equations for quark mixing parameters can be written in a form that is compact, in addition to having simple properties under flavor permutation. We…

High Energy Physics - Phenomenology · Physics 2016-05-16 S. H. Chiu , T. K. Kuo

The importance of Yukawa contributions to the renormalization of the spectrum in non-minimal supersymmetric models is illustrated in the cases of explicit lepton number violation (leading to the possibility of singly produced sneutrinos at…

High Energy Physics - Phenomenology · Physics 2009-10-30 Nir Polonsky

In this paper we prove uniqueness results for renormalized solutions to a class of nonlinear parabolic problems.

Analysis of PDEs · Mathematics 2011-11-28 Rosaria Di Nardo , Filomena Feo , Olivier Guibé

Renormalization group method is one of the most powerful tool to obtain approximate solutions to differential equations. We apply the renormalization group method to Hamiltonian systems whose integrable parts linearly depend on action…

chao-dyn · Physics 2007-05-23 Yoshiyuki Y. Yamaguchi , Yasusada Nambu

In this paper, we study the residual solvability of the generalized free product of solvable groups.

Group Theory · Mathematics 2011-03-23 Delaram Kahrobaei , Stephen Majewicz

The renormalization group method developed by Ken Wilson more than four decades ago has revolutionized the way we think about problems involving a broad range of energy scales such as phase transitions, turbulence, continuum limits and…

High Energy Physics - Theory · Physics 2015-05-27 Y. Meurice , R. Perry , S. -W. Tsai