Previously a model of only vector fields with a local $\mathrm{U}(1)\otimes \mathrm{SU}(2)$ symmetry was introduced for which one finds a massless U(1) photon and a massive SU(2) vector boson in the lattice regularization. Here it is shown that quantization of its classical continuum action leads to perturbative renormalization difficulties. But, nonperturbative Monte Carlo calculations favor the existence of a quantum continuum limit.

• Received 12 November 2011

DOI:https://doi.org/10.1103/PhysRevLett.108.221601