Massive current algebra in the many-flavor chiral Gross-Neveu model
arXiv:hep-th/9702016 · doi:10.1016/S0550-3213(97)00402-1
Abstract
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.
20 pages, LaTeX