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

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

1997-02-03

arxiv.org/abs/hep-th/9702016v2

Nucl.Phys. B502 (1997) 436-454

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, LaTeX

Scientific paper

10.1016/S0550-3213(97)00402-1

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.

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