Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions

TL;DR

This paper introduces an all-orders beta function for 2D current-current interactions with flavor and color anisotropy, revealing non-trivial fixed points when flavor numbers differ, advancing understanding of anisotropic quantum field theories.

Contribution

It presents a novel all-orders beta function for anisotropic current interactions, including flavor and color anisotropy, with analysis of fixed points in these models.

Findings

Non-trivial fixed points exist at finite couplings for unequal flavor numbers.

Beta function is extended to cases with both flavor and color anisotropy.

Provides insights into the renormalization group flow of anisotropic 2D models.

Abstract

We propose an all-orders beta function for current-current interactions in 2d with flavor anisotropy. When the number of left-moving and right-moving flavors are unequal, the beta function has a non-trivial fixed point at finite values of the couplings. We also extend the computation to simple cases with both flavor and color anisotropy.