Bootstrapping Perturbative Perfect Actions

Details Bootstrapping Perturbative Perfect Actions Bootstrapping Perturbative Perfect Actions

2002-12-25

arxiv.org/abs/hep-th/0212302v1

Phys.Rev. D67 (2003) 065011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 2 figures, LaTeX2e with REVTEX4

Scientific paper

10.1103/PhysRevD.67.065011

We study the exact renormalization group of the four dimensional phi4 theory perturbatively. We reformulate the differential renormalization group equations as integral equations that define the continuum limit of the theory directly with no need for a bare theory. We show how the self-consistency of the integral equations leads to the determination of the interaction vertices in the continuum limit. The inductive proof of the existence of a solution to the integral equations amounts to a proof of perturbative renormalizability, and it consists of nothing more than counting the scale dimensions of the interaction vertices. Universality is discussed within a context of the exact renormalization group.

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