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Theories with Finite Green's Functions

High Energy Physics - Theory 2013-04-01 v4 Mathematical Physics math.MP

Abstract

The addition of certain nonrenormalizable terms to the usual action density of a free scalar field leads to nonrenormalizable theories whose exact euclidian and minkowskian Green's functions are less singular than those of the free theory. In some cases, they are finite. One may use lattice methods to extract physical information from these less-singular, nonrenormalizable theories.

Keywords

Cite

@article{arxiv.1212.0290,
  title  = {Theories with Finite Green's Functions},
  author = {Kevin Cahill},
  journal= {arXiv preprint arXiv:1212.0290},
  year   = {2013}
}

Comments

14 pages, no figures; extended the analysis to Green's functions in Minkowski space; tried to write more clearly; referred to an interesting paper by Boettcher and Bender