Form factors of the O(6) Gross Neveu-model

TL;DR

This paper constructs form factors for the O(6) Gross-Neveu model using an isomorphism with SU(4), and generalizes the method to derive form factors for O(N) models with even N.

Contribution

It introduces a novel approach leveraging the SU(4) and O(6) isomorphism to compute form factors, extending to general even N cases.

Findings

Form factors of the O(6) Gross-Neveu model are explicitly constructed.

The method is generalized to obtain O(N) form factors for even N.

The approach simplifies calculations by using bound state form factors from SU(4).

Abstract

The isomorphism $SU(4) \simeq O(6)$ is used to construct the form factors of the O(6) Gross-Neveu model as bound state form factors of the SU(4) chiral Gross-Neveu model. This technique is generalized and is then applied to use the O(6) as the starting point of the nesting procedure to obtain the O(N) form factors for general even N.