Possible quantum obstructions to the process of Abelian conversion

TL;DR

This paper investigates quantum effects that can hinder the Abelian conversion of second class constraints, suggesting the use of Wess-Zumino fields to restore symmetries at the quantum level.

Contribution

It analyzes quantum obstructions in the Abelian conversion process using the field-antifield formalism and proposes a method to restore symmetries with Wess-Zumino fields.

Findings

Quantum effects can obstruct Abelian conversion.

Wess-Zumino fields can restore lost symmetries.

The field-antifield formalism is effective for this analysis.

Abstract

The procedure for Abelian conversion of second class constraints due to Batalin, Fradkin, Fradkina and Tyutin is considered at quantum level, by using the field-antifield formalism. It is argued that quantum effects can obstruct the process. In this case, Wess-Zumino fields may be introduced in order to restore the lost symmetries.