BV analysis for covariant and non-covariant actions

TL;DR

This paper demonstrates the quantum equivalence of covariant and non-covariant constrained systems using the field-antifield formalism, clarifying aspects of the Faddeev-Popov method for electromagnetism and Yang-Mills fields.

Contribution

It establishes the quantum equivalence between covariant and non-covariant formulations of constrained systems within the field-antifield formalism, clarifying the Faddeev-Popov approach.

Findings

Covariant and non-covariant systems are equivalent after quantization.

The study clarifies the Faddeev-Popov method in both approaches.

Results apply to Electromagnetism and Yang-Mills fields.

Abstract

The equivalence between the covariant and the non-covariant version of a constrained system is shown to hold after quantization in the framework of the field-antifield formalism. Our study covers the cases of Electromagnetism and Yang-Mills fields and sheds light on some aspects of the Faddeev-Popov method, for both the coratiant and non-covariant approaches, which had not been fully clarified in the literature.