Effective Scalar Field Theory and Reduction of Couplings

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 ${\varphi }^4$ 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.

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

References in corpus (6)

• Are Nonrenormalizable Gauge Theories Renormalizable?
• On The Difficulty of Computing Higher-Twist Corrections
• Ruling Out a Strongly-Interacting Standard Higgs Model
• Effective Field Theory of Gravity, Reduction of Couplings and the Renormalization Group
• Ambiguities in QED: Renormalons versus Triviality
• Effective Field Theory of pure Gravity and the Renormalization Group

Cited by in corpus (8)

• The Renormalization Group Improvement of the QCD Static Potentials
• Renormalization group improvement of the NRQCD Lagrangian and heavy quarkonium spectrum
• On dissipationless shock waves in a discrete nonlinear Schrödinger equation
• Renormalization of a class of non-renormalizable theories
• Infinite reduction of couplings in non-renormalizable quantum field theory
• Four Fermion Field Theories and the Chern-Simons Field: A Renormalization Group Study
• Dimensionally continued infinite reduction of couplings
• Non-renormalizable theories and finite formulation of QFT