Embedding Second Class Systems via Symplectic Gauge-invariant Formalism

TL;DR

This paper introduces a new symplectic gauge-invariant formalism to convert noninvariant systems into gauge-invariant ones, effectively addressing limitations of previous methods and applicable to both Abelian and non-Abelian theories.

Contribution

It presents a novel constraint conversion scheme within the symplectic framework that overcomes ambiguity issues of existing methods and handles non-Abelian systems without modifications.

Findings

Effective gauge-invariant reformulation of Abelian and non-Abelian systems

Avoids ambiguity problems present in BFFT and iterative methods

Applicable to a wide class of noninvariant systems

Abstract

In this paper we reformulate Abelian and non-Abelian noninvariant systems as gauge invariant theories using a new constraint conversion scheme, developed on the symplectic framework. This conversion method is not plagued by the ambiguity problem that torments the BFFT and iterative methods and also it seems more powerful since it does not require special modifications to handle with non-Abelian systems.