The extended conformal theory of Luttinger systems

TL;DR

This paper discusses an algebraic bosonization approach to Luttinger systems, exemplified by the Calogero-Sutherland model, and compares it with exact Bethe Ansatz results to validate the method.

Contribution

It introduces a detailed algebraic bosonization method for Luttinger systems and compares it with exact solutions, enhancing understanding of these models.

Findings

Algebraic bosonization effectively describes Luttinger systems.

Comparison with Bethe Ansatz confirms the method's accuracy.

Application to Calogero-Sutherland model demonstrates its utility.

Abstract

We describe the recently introduced method of algebraic bosonization of the $(1+1)$-dimensional Luttinger systems by discussing in detail the specific case of the Calogero-Sutherland model, and mentioning the hard-core Bose gas. We also compare our findings with the exact Bethe Ansatz results.