Form factors of SU(N) invariant Thirring model

TL;DR

This paper derives a new integral formula for solutions of the rational quantum Knizhnik-Zamolodchikov equation related to Lie algebra sl_{N} and applies it to form factors of the SU(N) invariant Thirring model, confirming recurrence relations.

Contribution

It introduces a novel integral formula for solutions of the quantum KZ equation and extends it to form factors of the SU(N) invariant Thirring model, including recurrence relations.

Findings

The new integral formula generalizes previous representations.

Recurrence relations are verified for the energy momentum tensor form factors.

The approach connects quantum KZ solutions with physical form factors.

Abstract

We obtain a new integral formula for solutions of the rational quantum Knizhnik-Zamolodchikov equation associated with Lie algebra sl_{N} at level zero. Our formula contains the integral representation of form factors of SU(N) invariant Thirring model constructed by F. Smirnov. We write down recurrence relations arising from the construction of the form factors. We check that the recurrence relations hold for the form factors of the energy momentum tensor.