2020•arXiv (Cornell University)Open access

Finite Quantum Field Theory and Renormalization Group

M. A. Green, J. W. Moffat

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.

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Key concepts: Scalar field theory, Triviality, Asymptotic safety in quantum gravity, Physics, Quantum field theory, Renormalization group, Functional renormalization group, Scalar field