ABSTRACT

This chapter deals with the internal symmetries of the standard model of elementary particle physics. It considers global symmetries and the associated local conservation laws. The local transformation of the four potential is then assumed to change and thus restore the symmetry. If the gauge group is a simple Lie group, then there is a single coupling constant g. But, if the gauge group is semisimple, one which can be written as a product of simple factors, then there will be separate coupling constants for each factor. The general idea is that if we try to separate free color then the forces between them become so strong that new pairs of opposite and equal color changes are created and the free color remains hidden. There is no solution to this nonlinear field system.