Internal Einstein spaces and symmetry breaking

We first define a generalised gauge invariant Yang-Mills lagrangian: the Killing metric - Ksub(αβ) on the group is replaced by a more general metric hsub(αβ)(chi); the field hsub(αβ)(chi) - a scalar from the space-time point of view - is then covariantly coupled to the gauge field Asub(μ)sup(α) and is also self-coupled via a natural scalar potential (no parameters). Non-trivial saddle points of this scalar potential correspond to non-standard Einstein metrics on the group G. The associated shifts lead to an entirely computable mass spectrum for the gauge field. (orig.)