Renormalizable Lagrangians for massive YangMills fields
Abstract
Renormalizable models are constructed in which local gauge invariance is broken spontaneously. Feynman rules and Ward identities can be found by means of a path integral method, and they can be checked by algebra. In one of these models, which is studied in more detail, local SU(2) is broken in such a way that local U(1) remains as a symmetry. A renormalizable and unitary theory results, with photons, charged massive vector particles, and additional neutral scalar particles. It has three independent parameters. Another model has local SU(2)⊗U(1) as a symmetry and may serve as a renormalizable theory for ϱmesons and photons. In such models electromagnetic massdifferences are finite and can be calculated in perturbation theory.
 Publication:

Nuclear Physics B
 Pub Date:
 December 1971
 DOI:
 10.1016/05503213(71)901398
 Bibcode:
 1971NuPhB..35..167T