On the Beta Function for Anisotropic Current Interactions in 2D
B. Gerganov, A. LeClair, M. Moriconi
TL;DR
This paper uses current-algebra Ward identities to analyze the renormalization of anisotropic current interactions in 2D, deriving conditions for all-order renormalizability and computing the beta function.
Contribution
It introduces algebraic conditions for all-order renormalizability and provides an all-orders beta function calculation for anisotropic current interactions.
Findings
Derived algebraic conditions for renormalizability.
Computed the beta function to all orders.
Established a minimal prescription for calculations.
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.
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