Non-perturbative scaling in the scalar theory

Abstract

A new approach to study the scaling behavior of the scalar theory near the Gaussian fixed point in $d$-dimensions is presented. For a class of initial data an explicit use of the Green's function of the evolution equation is made. It is thus discussed under which conditions non-polynomial relevant interactions can be generated by the renormalization group flow.

8 pages, RevTeX

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• The fate of non-polynomial interactions in scalar field theory
• Flow equation for Halpern-Huang directions of scalar O(N) models
• Non perturbative renormalization group potentials and quintessence
• RG studies of scalar-field models of long-range interactions