Form Factors of 2-D Integrable Models Using Radial Quantization

TL;DR

This paper reviews a recent approach to calculating form factors in 2-D integrable models using radial quantization, focusing on vertex operators and their vacuum expectation values, exemplified at the free-fermion point of sine-Gordon theory.

Contribution

It introduces a novel construction of vertex operators and form factors via radial quantization, providing explicit formulations at the free-fermion point.

Findings

Explicit construction of vertex operators in radial quantization

Calculation of form factors as vacuum expectation values

Application to the free-fermion point of sine-Gordon theory

Abstract

We review some ideas from a recent construction which introduced the notion of vertex operators and form factors as vacuum expectation values of related vertex operators in the space of fields. The vertex operators are constructed explicitly in radial quantization. These ideas are explained at the free-fermion point of the sine-Gordon theory.