Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-09-13
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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