The Batalain-Vilkovisky Method of Quantization Made Easy

TL;DR

This paper simplifies the Batalin-Vilkovisky quantization method for gauge theories by introducing an odd time formalism, providing accessible explanations, examples, and an easy solution approach for the master equation.

Contribution

It presents a simplified, systematic approach to the BV quantization method using odd time formalism, making it accessible for beginners and illustrating solutions with examples.

Findings

Easy method for solving the master equation in certain gauge theories

Properties of solutions can be easily extracted when applicable

Accessible introduction with illustrative examples

Abstract

Odd time was introduced to formulate the Batalin-Vilkovisky method of quantization of gauge theories in a systematic manner. This approach is presented emphasizing the odd time canonical formalism beginning from an odd time Lagrangian. To let the beginners have access to the method essential notions of the gauge theories are briefly discussed, and each step is illustrated with examples. Moreover, the method of solving the master equation in an easy way for a class of gauge theories is reviewed. When this method is applicable some properties of the solutions can easily be extracted as shown in the related examples.