Self-consistent renormalization group flow

Details Self-consistent renormalization group flow Self-consistent renormalization group flow

2000-10-12

arxiv.org/abs/hep-th/0010100v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 11 figures

Scientific paper

10.1142/S0217751X01004736

A self-consistent renormalization group flow equation for the scalar lambda phi^4 theory is analyzed and compared with the local potential approximation. The two prescriptions coincide in the sharp cutoff limit but differ with a smooth cutoff. The dependence of the critical exponent nu on the smoothness parameter and the field of expansion is explored. An optimization scheme based on the minimum sensitivity principle is employed to ensure the most rapid convergence of nu with the level of polynomial truncation.

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