Nonperturbative aspects of the two-dimensional massive gauged Thirring model

Abstract

In this paper, we present a study based on the use of functional techniques on the issue of insertions of massive fermionic fields in the two-dimensional massless gauged Thirring model. As it will be shown, the fermionic mass contributes to the Green's functions in a surprisingly simple way, leaving therefore the original nonperturbative nature of the massless results still intact in the massive theory. Also, by means of complementarity, we present a second discussion of the massive model, now at its bosonic representation.