More General Correlation Functions of Twist Fields From Ward Identities in the Massive Dirac Theory

TL;DR

This paper derives non-linear differential equations for general correlation functions of twist fields in the massive Dirac theory, providing a new parametrization and confirming its correctness through comparison with existing literature.

Contribution

It introduces a novel method to derive and parametrize correlation functions of twist fields using conserved charges in the massive Dirac model.

Findings

Derived non-linear differential equations for twist field correlators.

Provided a new parametrization for fermionic descendent twist fields.

Confirmed the correctness of the equations through literature comparison.

Abstract

Following on from previous work we derive the non-linear differential equations of more general correlators of U(1) twist fields in two-dimensional massive Dirac theory. Using the conserved charges of the double copy model equations parametrising the correlators of twist fields with arbitrary twist parameter are found. This method also gives a parametrisation of the correlation functions of general, fermionic, descendent twist fields. The equations parametrising correlators of primary twist fields are compared to those of the literature and evidence is presented to confirm that these equations represent the correct parametrisation.