Reply to 'Comment on "Dynamic correlations of the spinless Coulomb Luttinger liquid [Phys. Rev. B 65, 125109 (2002)]"'

TL;DR

This paper defends a previous study on the dynamic correlations of the spinless Coulomb Luttinger liquid by identifying and correcting a mathematical mistake made by critics, reaffirming the original findings.

Contribution

The authors clarify and correct a mathematical error in the criticism of their earlier work, strengthening the validity of their original results.

Findings

The criticism was based on a trivial mathematical mistake.

Correcting the mistake affirms the original conclusions.

The debate clarifies the theoretical understanding of Coulomb Luttinger liquids.

Abstract

We show that the criticism of our paper [Phys. Rev. B 65, 125109 (2002)] by Wang, Millis, and Das Sarma [cond-mat/0206203] is based on a trivial mathematical mistake they have committed.