B. Chen et al., CONSTRUCTION OF THE HIGGS POTENTIAL WITH SPONTANEOUS CP VIOLATION IN TERMS OF THE GAUGE-THEORY ON THE Z(2)XZ(3) GROUP, Physics letters. Section B, 350(1), 1995, pp. 58-65
The gauge theory on the z(2) X z(3) group is presented according to th
e general formalism of the gauge theory on the discrete group. The Yan
g-Mills action, i.e., the Higgs potential is constructed with the assu
mption of the gauge fields consisting of three Higgs doublets and the
assumption of the metric on the differential algebra. There are two ty
pes of solutions to the constrained equations imposed on the vacuum ex
pected values of the three Higgs doublets, one conserving the CP symme
try and the other violating it. The violating solution corresponds to
the true vacuum.