Extended Gauge Theories in Euclidean Space with Higher Spin Fields

The extended Yang-Mills gauge theory in Euclidean space is a renormalizable (by power counting) gauge theory describing a local interacting theory of scalar, vector, and tensor gauge fields (with maximum spin 2). In this article we study the quantum aspects and various generalizations of this model in Euclidean space. In particular the quantization of the pure gauge model in a common class of covariant gauges is performed. We generalize the pure gauge sector by including Majorana fermions in the adjoint representation of the gauge group. We show that the maximum half-integer spin contained in this model in dimension 4 is 3/2 and that this model is also supersymmetric. Moreover we develop an extension of this theory so as to include internal gauge symmetries and the coupling to matter fields which are in the fundamental representation of the gauge group. FTUAM/99/18 hep-th/9909117 1 E-mail: [email protected]