Systematic proof of the existence of Yangian symmetry in chiral Gross-Neveu models

TL;DR

This paper proves the existence of Yangian symmetry in generalized chiral Gross-Neveu models using finite-loop perturbative calculations, demonstrating its independence from the number of flavors and providing explicit examples.

Contribution

It provides a systematic proof of Yangian symmetry in these models, extending previous understanding with group-theoretic and perturbative methods.

Findings

Yangian symmetry exists in chiral Gross-Neveu models.

Finite-loop calculations confirm conservation of non-local charges.

Examples include SO(n)-models with 1-loop sufficiency.

Abstract

The existence of non-local charges, generating a Yangian symmetry is discussed in generalized chiral Gross-Neveu models. Their conservation can be proven by a finite-loop perturbative computation, the order of which is determined from group theoretic constants and is independent of the number of flavors. Examples, where the 1-loop calculation is sufficient, include the SO(n)-models and other more exotic groups and representations.