English

Some nonrenormalizable theories are finite

High Energy Physics - Theory 2014-11-18 v4

Abstract

Some nonrenormalizable theories are less singular than all renormalizable theories, and one can use lattice simulations to extract physical information from them. This paper discusses four nonrenormalizable theories that have finite euclidian and minkowskian Green's functions. Two of them have finite euclidian action densities and describe scalar bosons of finite mass. The space of nonsingular nonrenormalizable theories is vast.

Keywords

Cite

@article{arxiv.1303.4038,
  title  = {Some nonrenormalizable theories are finite},
  author = {Kevin Cahill},
  journal= {arXiv preprint arXiv:1303.4038},
  year   = {2014}
}

Comments

20 pages, 9 figures. This version is that of Phys. Rev. D 88, 125014 (2013) with two typos fixed and the word energy changed to euclidian action in several places

R2 v1 2026-06-21T23:43:16.413Z