  The problem about geometric correspondence of Dirac particle and contain
quality item of Yang-Mills equation has always not been solved.This paper
introduced the hyperbolic imaginary unit in Minkowski space, established a
classes of Dirac wave equations with t'Hooft matrices.In lightlike region of
Minkowski space,we can discuss the hermitian conjugate transformation of Dirac
positive particle and antiparticle, find the space-time corresponding points of
Dirac particle,and draw Feynman clip-art though the geometrical relation
between timelike region and lightlike region.The coupling of motion equation of
Dirac positive particle and antiparticle can get Klein-Gordon equation, when it
reach classical approximate we can get Schrodinger equation,and this
illustrated that p meson or m meson may be composite particle. Using the
relation of timelike region and lightlike region in Minkowski momentum space to
renormalize the rest mass of particles,we can describe the geometric relation
between rest mass and electromagnetic mass of particles. Then, we can elicit
the Yang-Mills equation with electromagnetic mass through four Dirac wave
equations with the hermitian conjugate transformation relation, and further
launch the common forms of Maxwell equations.
