Field itself becomes associated with a field of mass . This is called the Higgs field and still awaits an experimental discovery. All other fields, W, Z, A, e and have been already discovered.
Recent Kamiokande measurements indicate that has mass.
All these results are classical, i.e., the Salam-Weinberg-Glashow equations are treated like classical fields in all those symmetry breaking calculations. Quantum interpretations (i.e., particles) are then squeezed from classical results upon a certain amount of handwaving.