English

Finite Quantum Field Theory and Renormalization Group

General Physics 2021-11-22 v2 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

Renormalization group methods are applied to a scalar field within a finite, nonlocal quantum field theory formulated perturbatively in Euclidean momentum space. It is demonstrated that the triviality problem in scalar field theory, the Higgs boson mass hierarchy problem and the stability of the vacuum do not arise as issues in the theory. The scalar Higgs field has no Landau pole.

Keywords

Cite

@article{arxiv.2012.04487,
  title  = {Finite Quantum Field Theory and Renormalization Group},
  author = {M. A. Green and J. W. Moffat},
  journal= {arXiv preprint arXiv:2012.04487},
  year   = {2021}
}

Comments

5 pages, one figure. Version matches published article

R2 v1 2026-06-23T20:49:04.021Z