Optimization of field-dependent nonperturbative renormalization group flows

2004/09/29 by Léonie Canet
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Field (mathematics) #Functional renormalization group #Group (periodic table) #High-pressure geophysics and materials #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization group #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.1103/physrevb.71.012418

published as Phys.Rev. B71 (2005) 012418 · 4 pages, 3 figures

arxiv created 2004/09/29 · openalex publication_date 2005/01/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the influence of the momentum cutoff function on the field-dependent nonperturbative renormalization group flows for the three-dimensional Ising model, up to the second order of the derivative expansion. We show that, even when dealing with the full functional dependence of the renormalization functions, the accuracy of the critical exponents can be simply optimized, through the principle of minimal sensitivity, which yields \ensuremathν=0.628 and \ensuremathη=0.044.

Citations

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