A New Approach to Nonrenormalizable Models

Details A New Approach to Nonrenormalizable Models A New Approach to Nonrenormalizable Models

2006-09-13

arxiv.org/abs/hep-th/0609091v2

AnnalsPhys.322:2569-2602,2007

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, modified Sec. 7 to improve normalization criterion, plus a few typos corrected

Scientific paper

10.1016/j.aop.2007.04.002

Nonrenormalizable quantum field theories require counterterms; and based on the hard-core interpretation of such interactions, it is initially argued, contrary to the standard view, that counterterms suggested by renormalized perturbation theory are in fact inappropriate for this purpose. Guided by the potential underlying causes of triviality of such models, as obtained by alternative analyses, we focus attention on the ground-state distribution function, and suggest a formulation of such distributions that exhibits nontriviality from the start. Primary discussion is focused on self-interacting scalar fields. Conditions for bounds on general correlation functions are derived, and there is some discussion of the issues involved with the continuum limit.

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