41 6 v 1 1 9 Ju l 1 99 8 General Gauge Field Theory And Its Application

A gauge field model, which simultaneously has strict local gauge symmetry and contains massive general gauge bosons, is discussed in this paper. The model has SU (N) gauge symmetry. In order to introduce the mass term of gauge fields directly without violating the gauge symmetry of the theory, two sets of gauge fields will be introduced into the theory. After some transformations , one set of gauge fields obtain masses and another set of gauge fields keep massless. In the limit α −→ 0 or α −→ ∞, the gauge field model discussed in this paper will return to Yang-Mills gauge field model. Finally, some applications of this model are discussed. 1 Introduction Yang and Mills founded non-Abel gauge field theory in 1954[1 ]. Since then, gauge field theory has been extensively applied to elementary particle theories. Now, it is generally believed that four kinds of fundamental interactions, i.e. strong interactions , electromagnetic interactions, weak interactions and gravitation, are all gauge interactions. From theoretical point of view, the requirement of gauge invariant determines the forms of interactions. But for Yang-Mills gauge theory, if lagrangian has strict local gauge symmetry, the masses of gauge fields must be zero. On the other hand, physicists found that the masses of intermediate bosons are very large in the forties[2 ]. After introducing spontaneously symmetry breaking and Higgs mechanism, Glashow[3 ], Weinberg[4 ]and Salam[5 ]founded the well-known unified electroweak standard model. The standard model is consonant well with experiments and intermediate bosons W ± and Z 0 have already been found by experiments. But Higgs particle has not been found by experiments until now. We know that Higgs particle is necessitated by the standard model. Whether Higgs particle exists in nature? If there were no Higgs particle, how should we construct the unified electroweak model?