ON THE COVARIANTIZATION OF THE CHIRAL CONSTRAINT

TL;DR

This paper investigates the covariantization of the chiral constraint in the Floreanini-Jackiw model, revealing that a complete covariantization requires infinitely many auxiliary fields, contrasting with recent claims of using only one.

Contribution

It demonstrates that full covariantization of the chiral constraint cannot be achieved with a finite number of auxiliary fields, challenging previous approaches using the Batalin-Fradkin-Tyutin method.

Findings

Complete covariantization requires infinite auxiliary fields.

Partial covariantization cannot eliminate nonlocality.

Critique of recent methods claiming finite auxiliary field covariantization.

Abstract

We show that a complete covariantization of the chiral constraint in the Floreanini-Jackiw necessitates an infinite number of auxiliary Wess-Zumino fields otherwise the covariantization is only partial and unable to remove the nonlocality in the chiral boson operator. We comment on recent works that claim to obtain covariantization through the use of Batalin-Fradkin-Tyutin method, that uses just one Wess-Zumino field.