https://doi.org/10.1140/epjp/s13360-021-01904-z
Regular Article
Finite quantum field theory and renormalization group
1
Perimeter Institute for Theoretical Physics, N2L 2Y5, Waterloo, ON, Canada
2
Department of Physics and Astronomy, University of Waterloo, N2L 3G1, Waterloo, ON, Canada
b
jmoffat@perimeterinstitute.ca
Received:
30
July
2021
Accepted:
25
August
2021
Published online:
8
September
2021
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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021