Gauge theory of second class constraints without extra variables

TL;DR

This paper demonstrates that theories with second class constraints can be reformulated as gauge theories using solutions within the original phase space, enabling a path integral quantization with a natural measure derived from superfield methods.

Contribution

It introduces a method to convert second class constrained theories into gauge theories without adding extra variables, facilitating quantization.

Findings

Second class constraints can be expressed as gauge theories.

Path integral quantization yields a natural measure.

Superfield formulation underpins the measure derivation.

Abstract

We show that any theory with second class constraints may be cast into a gauge theory if one makes use of solutions of the constraints expressed in terms of the coordinates of the original phase space. We perform a Lagrangian path integral quantization of the resulting gauge theory and show that the natural measure follows from a superfield formulation.