Non-Abelian Thirring model at large N

A bstract We consider the non-Abelian bosonized Thirring model for a semi-simple group G at level k , with deformation parameter λ . We compute the two-point correlation functions of current and composite current operators to cubic order in λ , assuming large values of the quadratic Casimir c G of the group G in the adjoint representation. From these, we extract the β -function and the anomalous dimensions of both the current and composite current operators, showing the absence of an additional critical point of order $$ \raisebox{1ex}{$k$}\!\left/ \!\raisebox{-1ex}{${c}_G$}\right. $$ k c G to quartic order in λ . At this order, our findings agree with those of Destri and de Vega, but contradict the claim of Dashen and Frishman for the fermionic non-Abelian Thirring model.