Bethe--Salpeter wave functions in integrable models

TL;DR

This paper explores Bethe--Salpeter wave functions in integrable models, focusing on their short-distance behavior, energy dependence of derived potentials, and the limited phenomenological relevance of zero-energy potentials.

Contribution

It applies the operator product expansion to analyze Bethe--Salpeter wave functions and examines the energy dependence of the resulting potentials in integrable models.

Findings

Operator product expansion determines short-distance behavior.

Energy dependence of potentials is characterized.

Zero-energy potentials have limited phenomenological significance.

Abstract

We investigate some properties of Bethe--Salpeter wave functions in integrable models. In particular we illustrate the application of the operator product expansion in determining the short distance behavior. The energy dependence of the potentials obtained from such wave functions is studied, and further we discuss the (limited) phenomenological significance of zero--energy potentials.