New remarks on the linear constraint self-dual boson and Wess-Zumino terms

TL;DR

This paper clarifies the application of the soldering formalism to the Srivastava chiral boson, showing it consists of two same-chirality particles and that the Wess-Zumino term does not introduce new degrees of freedom.

Contribution

It provides a rigorous proof that the soldering formalism applies to the Srivastava chiral boson and clarifies the role of the Wess-Zumino term in the theory.

Findings

Soldering formalism applies to the Srivastava chiral boson.

The SCB is composed of two same-chirality Floreanini-Jackiw particles.

The Wess-Zumino term does not add new degrees of freedom.

Abstract

In this work we prove in a precise way that the soldering formalism can be applied to the Srivastava chiral boson (SCB), in contradiction with some results appearing in the literature. We have promoted a canonical transformation that shows directly that the SCB is composed of two Floreanini-Jackiw's particles with the same chirality which spectrum is a vacuum-like one. As another conflictive result we have proved that a Wess-Zumino term used in the literature consists of the scalar field, once again denying the assertion that the WZ term adds a new degree of freedom to the SCB theory in order to modify the physics of the system.