Finite quantum field theory and renormalization group

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.

Automated summary

Renormalization group methods are used in a finite, nonlocal quantum field theory to address issues in scalar field theory. The triviality problem, Higgs boson mass hierarchy problem, and vacuum stability are not problems in this theory. The scalar Higgs field does not have a Landau pole.