The BFV Approach for a Nonlocal Symmetry of QED

TL;DR

This paper employs the BFV formalism to analyze a nonlocal symmetry in QED, revealing its origin as a canonical transformation within the ghost sector, thus providing new insights into the symmetry's structure.

Contribution

It demonstrates that a nonlocal symmetry in QED can be derived from a canonical transformation in the BFV extended phase space, offering a novel perspective on gauge symmetries.

Findings

The nonlocal symmetry arises from a canonical transformation in the ghost sector.

The BFV formalism effectively captures the structure of the nonlocal symmetry.

Provides a new understanding of symmetries in quantum electrodynamics.

Abstract

In this paper we use the Batalin-Fradkin-Vilkovisky formalism to study a recently proposed nonlocal symmetry of QED. In the BFV extended phase space we show that this symmetry stems from a canonical transformation in the ghost sector.