Non-Abelian Thirring model at large N

2026/07/19 by Songyuan Li, Konstantinos Siampos
#hep-th

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Abstract

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 k/c_G. Our findings align with those of Destri & de Vega for the Fermionic non-Abelian Thirring model, but contradict the claim in Dashen & Frishman regarding the existence of an additional fixed point of order 1/c_G.

Citations

• The Large N Limit of Superconformal Field Theories and Supergravity

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