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Two loop results from the derivative expansion of the blocked action

arXiv:hep-th/9712038 · doi:10.1103/PhysRevD.57.7383

Abstract

A derivative expansion of the Wegner-Houghton equation is derived for a scalar theory. The corresponding full non-perturbative renormalization group equations for the potential and the wave-function renormalization function are presented. We also show that the two loop perturbative anomalous dimension for the O(N) theory can be obtained by means of a polynomial truncation in the field dependence in our equations.

4 pages, RevTeX, no figures