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- Assessment of the particle standard model: An alternative formulation.

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19030099

An assessment of the particle standard model and an alternative formulation of

the model are presented. An ultraviolet complete particle model is constructed

for the observed particles of the standard model. The quantum field theory

associates infinite derivative entire functions with propagators and vertices, which

make perturbative quantum loops finite and maintain PoincarĂ© invariance and

unitarity of the model. The electroweak model SU(2) X U(1) group is treated as a

broken symmetry group with non-vanishing experimentally determined boson

and fermion masses. A spontaneous symmetry breaking of the vacuum by a

scalar Higgs field is not invoked to restore boson and fermion masses to the

initially massless SU(2) X U(1) Lagrangian of the standard model. The hierarchy

naturalness problem of the Higgs boson mass is resolved and the model

contains only experimentally observed masses and coupling constants. The

renormalization group features of the scalar Higgs field are investigated and the

model is shown to be asymptotically safe and free from the triviality problem. It is

demonstrated that the finite nonlocal quantum field theory satisfies

microcausality. The model can predict a stable vacuum evolution. Experimental

tests to distinguish the standard model from the alternative model are proposed.

The finite quantum field theory can be extended to quantum gravity.

©2012 Perimeter Institute for Theoretical Physics