Massive current algebra in the many-flavor chiral Gross–Neveu model

We study the algebra of SU(n)-currents in the many-flavor chiral Gross-Neveu model. The general structure of the current-current OPE leading to non-local quantum conserved charges is reviewed. We calculate the OPE in the one-flavor and the many-flavor models perturbatively and use renormalization group invariance to prove that our results are not altered by higher-order corrections. We conclude that in these models the non-local quantum charge exists which is the first step towards the proof of the absence of particle production and factorization. PACS codes: 11.10.Kk 11.20.Ex 11.30.Na keywords: non-local charge, operator product expansion, Gross-Neveu model, renormalization group Address of correspondence: Tamas Hauer Institute for Theoretical Physics, Lorand Eötvös University H-1088 Budapest, Puskin u. 5-7, Hungary Tel: 36-1-266-7921; Fax: 36-1-266-0612 email: [email protected] E-mail: [email protected]