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The Exact Renormalization Group and Approximations

1994/08/09 by Peter E. Haagensen, Yuri Kubyshin, Haagensen, Peter E. +5
Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #High Energy Physics - Theory (hep-th) #Stochastic processes and financial applications #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.hep-th/9408050

openalex publication_date 1994/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review the Exact Renormalization Group equations of Wegner and Houghton in an approximation which permits both numerical and analytical studies of nonperturbative renormalization flows. We obtain critical exponents numerically and with the local polynomial approximation (LPA), and discuss the advantages and shortcomings of these methods, and compare our results with the literature. In particular, convergence of the LPA is discussed in some detail. We finally integrate the flows numerically and find a c-function which determines these flows to be gradient in this approximation.

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