Asymptotic factorization of n-particle SU(N) form factors

TL;DR

This paper studies the high-energy asymptotic behavior of form factors in the integrable SU(N) chiral Gross-Neveu model, revealing explicit factorization formulas when rapidities are shifted to infinity.

Contribution

It provides the first detailed analysis of the asymptotic factorization of form factors in the SU(N) model, including explicit formulas for several operators.

Findings

Form factors exhibit rapidity space clustering

Explicit factorization formulas derived for multiple operators

High-energy behavior characterized by rapidity shifts to infinity

Abstract

We investigate the high energy behavior of the SU(N) chiral Gross-Neveu model in 1 + 1 dimensions. The model is integrable and matrix elements of several local operators (form factors) are known exactly. The form factors show rapidity space clustering, which means factorization, if a group of rapidities is shifted to infinity. We analyze this phenomenon for the SU(N) model. For several operators the factorization formulas are presented explicitly.