BV quantization of a generic degenerate quadratic lagrangian

TL;DR

This paper develops a BV quantization method for a broad class of quadratic Lagrangian field models, extending gauge theories like Yang-Mills by separating gauge-invariant and gauge-fixing components.

Contribution

It introduces a generalized BV quantization approach for degenerate quadratic Lagrangians, broadening the applicability of gauge theory quantization techniques.

Findings

Successfully quantized a generic degenerate quadratic Lagrangian model.

Extended BV formalism to include almost-regular quadratic Lagrangians.

Provided a framework for separating gauge-invariant and gauge-fixing parts.

Abstract

Generalizing the Yang-Mills gauge theory, we provide the BV quantization of a field model with a generic almost-regular quadratic Lagrangian by use of the fact that the configuration space of such a field model is split into the gauge-invariant and gauge-fixing parts.