Wu, N (reprint author), Inst High Energy Phys, POB 918-1, Beijing 100039, Peoples R China.
Based on local gauge invariance, four different kinds of fundamental interactions in nature are unified in a theory which has SU(3)(c) circle times SU(2)(L) circle times U(1) circle times(s) Gravitational Gauge Group gauge symmetry. In this approach, gravitational field, like electromagnetic field, intermediate gauge field, and gluon field, is represented by gauge potential. Four kinds of fundamental interactions are formulated in the similar manner, and therefore can be unified in a direct or semi-direct product group. The model discussed in this paper is a renormalizable quantum model and can be regarded as an extension of the standard model to gravitational interactions, so it can be used to study quantum effects of gravitational interactions.