Some Remarks on the Quantization of Gauge Theories

TL;DR

This paper compares two quantization methods for gauge theories, analyzing their conditions for equivalence through a simple example to clarify their relationship.

Contribution

It provides a discussion on the conditions under which reduced phase space and Dirac quantization methods are equivalent in gauge theories.

Findings

Identifies conditions for equivalence of quantization methods

Analyzes a simple gauge theory example

Clarifies relationship between two quantization approaches

Abstract

The methods of reduced phase space quantization and Dirac quantization are examined in a simple gauge theory. A condition for the possible equivalence of the two methods is discussed.