Annihilation poles of a Smirnov-type integral formula for solutions to quantum Knizhnik--Zamolodchikov equation
Takeo Kojima, Kei Miki, Yas-Hiro Quano
TL;DR
This paper investigates the integral solutions to the quantum Knizhnik-Zamolodchikov equation, establishing conditions for the integral kernel to meet form factor axioms and relating it to the XXZ spin chain.
Contribution
It derives conditions on the integral kernel ensuring solutions satisfy form factor axioms and connects these solutions to the XXZ spin chain model.
Findings
Identified annihilation poles in the integral kernel
Established conditions for the kernel to satisfy form factor axioms
Linked integral solutions to the XXZ spin chain form factors
Abstract
We consider the recently obtained integral representation of quantum Knizhnik-Zamolodchikov equation of level 0. We obtain the condition for the integral kernel such that these solutions satisfy three axioms for form factor \'{a} la Smirnov. We discuss the relation between this integral representation and the form factor of XXZ spin chain.
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