We consider a new type of renormalizable theory involving massive Yang-Mills fields whose mass is generated by an intrinsic breakdown of the usual local gauge symmetry. However, the Lagrangian has a distorted gauge symmetry which leads to the Ward-Takahashi (WT) identities. Also, the theory is independent of the gauge parameter 5. We completely carry out an explicit renormalization at the one-loop level by exhibiting counterterms. defining the physical parameters, and computing all renormalization constants to check the WT identities. Our results indicate that the physical scalar can be removed from the physical spectrum and that perhaps the theory could become asymptotically free.
We use the method of the Lagrange multiplier field to construct, within the framework of indefinite-metric field theory, a model of a massive Yang-Mills field, the mass of which derives from an intrinsic symmetry breakdown, rather than a spontaneous symmetry breakdown. The rules for the Feynman diagrams are given. The dynamical structure of the interacting fields is intrinsically related to a local non-Abelian gauge symmetry which renders the theory renormalizable by standard power counting. The part of the amplitude due to the interaction of unphysical particles in the intermediate states, which violates unitarity and gauge symmetry, is isolated and removed, leaving the unitary physical S matrix. The unitarity of the resulting theory, together with its independence with respect to the parameter 5, is demonstrated in calculations at the one-loop and the two-loop levels.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.