On the Free Field Realization of Form Factors
Abstract
A method to construct free field realizations for the form factors of diagonal factorized scattering theories is described. Form factors are constructed from linear functionals over an associative `form factor algebra', which in particular generate solutions of the deformed Knizhnik-Zamolodchikov equations with parameter 2π. We show that there exists a unique deformation off the (`Rindler') value 2π that preserves the original S-matrix and which allows one to realize form factors as vector functionals over an algebra of generalized vertex operators.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.