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We discuss the polarization amplitude of quantum spin systems in one dimension. In particular, we closely investigate it in gapless phases of those systems based on the two-dimensional conformal field theory. The polarization amplitude is…

Statistical Mechanics · Physics 2019-04-30 Shunsuke C. Furuya , Masaaki Nakamura

The influence of a random environment on the dynamics of a fluctuating rough surface is investigated using a field theoretic renormalization group. The environment motion is modelled by the stochastic Navier--Stokes equation, which includes…

Statistical Mechanics · Physics 2025-02-18 N. V. Antonov , A. A. Babakin , N. M. Gulitskiy , P. I. Kakin

In the context of MSSM, a novel improving procedure based on the renormalization group equation is applied to the effective potential in the Higgs sector. We focus on the one-loop radiative corrections computed in Landau gauge by using the…

High Energy Physics - Phenomenology · Physics 2011-09-13 D. V. Gioutsos

The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the $\beta$ function, the…

Chaotic Dynamics · Physics 2009-11-07 L. Ts. Adzhemyan , N. V. Antonov , M. V. Kompaniets , A. N. Vasil'ev

We stress the potential usefulness of renormalization group invariants. Especially particular combinations thereof could for instance be used as probes into patterns of supersymmetry breaking in the MSSM at inaccessibly high energies. We…

High Energy Physics - Phenomenology · Physics 2015-09-11 Wim Beenakker , Tom van Daal , Ronald Kleiss , Rob Verheyen

Phase diagrams of the two-dimensional one-band t-t' Hubbard model are obtained within the two-patch and the temperature-cutoff many-patch renormalization group approach. At small t' and at van Hove band fillings antiferromagnetism…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Katanin , A. P. Kampf

We review a formulation of a renormalization-group scheme for Hamiltonian systems with two degrees of freedom. We discuss the renormalization flow on the basis of the continued fraction expansion of the frequency. The goal of this approach…

chao-dyn · Physics 2007-05-23 C. Chandre , H. R. Jauslin

We give a comprehensive review of the renormalization group method for global and asymptotic analysis, putting an emphasis on the relevance to the classical theory of envelopes and the existence of invariant manifolds of the dynamics under…

patt-sol · Physics 2008-02-03 Teiji Kunihiro

We discuss perturbative solutions of renormalization group equations, and propose the use of resummation scale techniques in assessing theoretical uncertainties on the extraction of parton distribution functions from data.

High Energy Physics - Phenomenology · Physics 2022-06-01 V. Bertone , G. Bozzi , F. Hautmann

By adding a linear term to a renormalization-group equation in a system exhibiting infinite-order phase transitions, asymptotic behavior of running coupling constants is derived in an algebraic manner. A benefit of this method is presented…

Statistical Mechanics · Physics 2009-11-10 Hisamitsu Mukaida

We demonstrate that, in a quasi-two-dimensional electron system confined to an AlAs quantum well and occupying two conduction-band minima (valleys), a parallel magnetic field can couple to the electrons' orbital motion and tune the energies…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Gokmen , Medini Padmanabhan , O. Gunawan , Y. P. Shkolnikov , K. Vakili , E. P. De Poortere , M. Shayegan

An extension of the Newell-Whitehead-Segel amplitude equation covariant under abritrary rotations is derived systematically by the renormalization group method.

patt-sol · Physics 2009-10-30 Robert Graham

A simple modification of the standard Renormalization Group (RG) technique for the study of quantum spin systems is introduced. Our method which takes into account the effect of boundary conditions by employing the concept of superblock,…

Statistical Mechanics · Physics 2008-02-03 A. Langari , V. Karimipour

Reentrant superconductivity in strong magnetic fields challenges the conventional expectation that magnetic fields necessarily suppress superconductivity. We show that reentrant superconducting instability can arise from the competition…

Superconductivity · Physics 2026-05-18 Jun Goryo

We calculate the scattering amplitude in the two dimensional $CP(1)$ model in a regularization scheme independent way. When using cutoff regularization, a new Feynman rule from the path integral measure is required if one is to preserve the…

High Energy Physics - Theory · Physics 2024-08-26 Diego Buccio , John F. Donoghue , Gabriel Menezes , Roberto Percacci

We measure the renormalized effective mass (m*) of interacting two-dimensional electrons confined to an AlAs quantum well while we control their distribution between two spin and two valley subbands. We observe a marked contrast between the…

Mesoscale and Nanoscale Physics · Physics 2010-08-17 T. Gokmen , Medini Padmanabhan , M. Shayegan

We describe an extension to the density matrix renormalization group method incorporating real time evolution into the algorithm. Its application to transport problems in systems out of equilibrium and frequency dependent correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Steven R. White , Adrian E. Feiguin

The renormalisation group (RG) flow on the space of couplings of a simple model with two couplings is examined. The model considered is that of a single component scalar field with $\phi^4$ self interaction coupled, via Yukawa coupling, to…

High Energy Physics - Theory · Physics 2015-06-26 Brian P. Dolan

A comparative study of the Homotopy Analysis method and an improved Renormalization Group method is presented in the context of the Rayleigh and the Van der Pol equations. Efficient approximate formulae as functions of the nonlinearity…

Classical Analysis and ODEs · Mathematics 2015-08-03 Aniruddha Palit , Dhurjati Prasad Datta

We present a real-space renormalization group approach for the corner Hamiltonian, which is relevant to the reduced density matrix in the density matrix renormalization group. A set of self-consistent equations that the renormalized…

Statistical Mechanics · Physics 2007-05-23 Kouichi Okunishi