Errata for: Differential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point

TL;DR

This paper provides corrections to previous work on correlation functions in the sine-Gordon model at the free fermion point, specifically addressing solutions for cases where the parameters differ.

Contribution

It presents the correct, more general solutions to differential equations for correlation functions with unequal parameters, correcting prior limitations.

Findings

Corrected correlation function solutions for           

Provides the most general solution to the differential equations for the correlation functions.

Addresses previous limitations where solutions were only valid for  = '.

Abstract

We present some important corrections to our work which appeared in Nucl. Phys. B426 (1994) 534 (hep-th/9402144). Our previous results for the correlation functions $\langle e^{i\alpha \Phi(x)} e^{i\alpha' \Phi (0) } \rangle$ were only valid for $\alpha = \alpha'$, due to the fact that we didn't find the most general solution to the differential equations we derived. Here we present the solution corresponding to $\alpha \neq \alpha'$.