Towards exact bosonization of the Calogero-Sutherland model

TL;DR

This paper shows that the Calogero-Sutherland model's form-factors can be exactly reproduced through bosonization in momentum space, suggesting a precise bosonization approach for one-dimensional anyons.

Contribution

It introduces an exact bosonization method for the Calogero-Sutherland model, confirming form-factors and supporting the description of one-dimensional anyons.

Findings

Exact form-factors reproduced via bosonization

Supports bosonization as a tool for anyons

Confirms conjectures by Haldane

Abstract

We demonstrate that the exact form-factors of the Calogero-Sutherland model which were recently found in Ref.[10] in confirmation of the congectures earlier made by Haldane (Ref.[9]) can be reproduced in the framework of some bosonization procedure in momentum space. This observation implies a possibility of an exact bosonization of this model describing one-dimensional anyons.