Emergence of gauge invariance from Nambu models

Abstract

In the framework of a hamiltonian nonperturbative approach we show that after demanding current conservation together with the Gauss constraints at some initial time in a nonabelian Nambu model, we recover the corresponding Yang-Mills theory. In this way, the spontaneous Lorentz symmetry breaking present in the Nambu model becomes unobservable and the Goldstone modes can be identified with the corresponding gauge bosons.