Extended Pure Yang Mills Gauge Theories with Scalar and Tensor Gauge Fields

摘要

The usual abelian gauge theory is extended to an interacting Yang Mills liketheory containing vector, scalar, and tensor gauge fields. These gauge fields are seen as components along the Clifford algebra basis of a gauge vector-spinorial field. Scalar fields phi naturally coupled to vector and tensor fields are found, leading to a natural phi(sup 4) coupling in the Lagrangian. The full expression of the Lagrangian for the euclidean version of the theory is given.