Nonlocal-symmetry Ward identities

Abstract

We derive and discuss Ward identities associated with the nonlocal symmetry found in certain two-dimensional field theories. We show the identities are satisfied by the fermion propagator in the presence of the dynamical mass generation occurring in the $\mathrm{O}\mathrm{}\left(N\right)\mathrm{}$ Gross-Neveu model as $N\to \infty$.