On the Beta Function for Anisotropic Current Interactions in 2D

Abstract

By making use of current-algebra Ward identities we study renormalization of general anisotropic current-current interactions in 2D. We obtain a set of algebraic conditions that ensure the renormalizability of the theory to all orders. In a certain minimal prescription we compute the beta function to all orders.

7 pages, 6 figures. v2: References added and typos corrected; v3: cancellation of finite parts more accurately stated