Emergence of gauge invariance from Nambu models

TL;DR

This paper demonstrates that in a nonperturbative Hamiltonian framework, imposing current conservation and Gauss constraints in a nonabelian Nambu model leads to the emergence of gauge invariance and Yang-Mills theory, with Goldstone modes acting as gauge bosons.

Contribution

It shows how gauge invariance and Yang-Mills theory emerge from a Nambu model through specific constraints, revealing spontaneous Lorentz symmetry breaking as unobservable.

Findings

Gauge invariance emerges from Nambu models under certain constraints.

Goldstone modes are identified with gauge bosons.

Yang-Mills theory is recovered nonperturbatively.

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.