Finite Quantum Field Theory and Renormalization Group
M. A. Green, J. W. Moffat
TL;DR
This paper applies renormalization group techniques to a finite, nonlocal scalar quantum field theory, showing it avoids common issues like triviality, hierarchy, and vacuum stability problems, and the Higgs field lacks a Landau pole.
Contribution
It introduces a finite nonlocal quantum field theory framework where standard problems are resolved, differing from traditional local theories.
Findings
No triviality or hierarchy problems in the theory
Higgs scalar has no Landau pole
Vacuum stability is maintained
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Particle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions