English

Effective Scalar Field Theory and Reduction of Couplings

High Energy Physics - Phenomenology 2009-10-30 v2 High Energy Physics - Lattice High Energy Physics - Theory

Abstract

A general discussion of the renormalization of the quantum theory of a scalar field as an effective field theory is presented. The renormalization group equations in a mass-independent renormalization scheme allow us to identify the possibility to go beyond the renormalizable ϕ4\phi^{4} theory without losing its predictive power. It is shown that there is a minimal extension with just one additional free parameter (the mass scale of the effective theory expansion) and some of its properties are discussed.

Keywords

Cite

@article{arxiv.hep-ph/9612324,
  title  = {Effective Scalar Field Theory and Reduction of Couplings},
  author = {Mario Atance and Jose Luis Cortes},
  journal= {arXiv preprint arXiv:hep-ph/9612324},
  year   = {2009}
}

Comments

33 pages, latex file, no figures, 33 pages. Minor changes. Final version appeared in Physical Review D