The effects of symmetry breaking and renormalization on a unified fiel
d theory can be simulated by the use of a deformed gauge group instead
of U(3). Here the use of a deformation of u(3) called u(Q)(3), with t
hree independent parameters, is proposed and illustrated by obtaining
a mass formula with electromagnetic mass splitting as well as the hype
rcharge and isospin dependence for the baryons.