Exact form factors of the SU(N) Gross-Neveu model and 1/N expansion

TL;DR

This paper constructs exact form factors for the SU(N) Gross-Neveu model, compares them with the 1/N expansion, and explores the anyonic behavior of local fields using the form factor approach.

Contribution

It provides explicit exact form factors for key operators in the SU(N) Gross-Neveu model and demonstrates their agreement with the 1/N expansion, revealing anyonic statistics.

Findings

Exact form factors match 1/N expansion results

Derived equal time commutation rules for local fields

Identified anyonic behavior in local fields

Abstract

The general SU(N) form factor formula is constructed. Exact form factors for the field, the energy momentum and the current operators are derived and compared with the 1/N-expansion of the chiral Gross-Neveu model and full agreement is found. As an application of the form factor approach the equal time commutation rules of arbitrary local fields are derived and in general anyonic behavior is found.