Effective Scalar Field Theory and Reduction of Couplings

Details Effective Scalar Field Theory and Reduction of Couplings Effective Scalar Field Theory and Reduction of Couplings

1996-12-11

arxiv.org/abs/hep-ph/9612324v2

Phys. Rev. D56 (1997) 3611-3622

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.56.3611

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 $\phi^{4}$ 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.

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