The Exact Renormalization Group and Approximations

Details The Exact Renormalization Group and Approximations The Exact Renormalization Group and Approximations

1994-08-09

arxiv.org/abs/hep-th/9408050v3

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LATEX (needs worldsci.sty). 3 figures available on request. Talk presented by Yu. Kubyshin at the "Quarks '94" Inter

Scientific paper

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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