Extended BPH Renormalization of Cutoff Scalar Field Theories

Details Extended BPH Renormalization of Cutoff Scalar Field Theories Extended BPH Renormalization of Cutoff Scalar Field Theories

1994-04-29

arxiv.org/abs/hep-th/9404177v1

Phys.Rev. D53 (1996) 7143-7156

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, and 4 pp figures, UCLA/93/TEP/45

Scientific paper

10.1103/PhysRevD.53.7143

We show that general cutoff scalar field theories in four dimensions are perturbatively renormalizable through the use of diagrammatic techniques and an adapted BPH renormalization method. Weinberg's convergence theorem is used to show that operators in the Lagrangian with dimension greater than four, which are divided by powers of the cutoff, produce perturbatively only local divergences in the two-, three-, and four-point correlation functions. We also show that the renormalized Green's functions are the same as in ordinary $\Phi^4$ theory up to corrections suppressed by inverse powers of the cutoff. These conclusions are consistent with those of existing proofs based on the renormalization group.

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