Symplectic Quantization for Reducible Systems

TL;DR

This paper extends the symplectic formalism to quantize reducible systems, applying a ghost-of-ghost approach with Lagrange multipliers, and demonstrates its use on antisymmetric Abelian gauge fields.

Contribution

It introduces a novel symplectic quantization method for reducible systems using ghost-of-ghost techniques with Lagrange multipliers.

Findings

Successfully quantized antisymmetric Abelian gauge fields

Extended symplectic formalism to reducible systems

Demonstrated applicability of ghost-of-ghost method

Abstract

We study an extension of the symplectic formalism in order to quantize reducible systems. We show that a procedure like {\it ghost-of-ghost} of the BFV method can be applied in terms of Lagrange multipliers. We use the developed formalism to quantize the antisymmetric Abelian gauge fields.