Faddeev-Jackiw analysis for the charged compressible fluid in a higher-derivative electromagnetic field background

TL;DR

This paper applies the Faddeev-Jackiw symplectic method to analyze a charged compressible fluid in a higher-derivative electromagnetic background, deriving constraints and Dirac brackets to understand their interactions.

Contribution

It introduces a novel application of the Faddeev-Jackiw approach to a charged fluid in a complex electromagnetic setting, providing explicit constraint and bracket calculations.

Findings

Constraints obtained from zero-mode eigenvectors

Dirac brackets for fluid variables computed

Coupling effects between fluid and electromagnetic fields analyzed

Abstract

In the present paper we will discuss the Faddeev-Jackiw symplectic approach in the analysis of a charged compressible fluid immersed in a higher-derivative electromagnetic field theory. We have obtained the full set of constraints directly from the zero-mode eigenvectors. Besides, we have computed the Dirac brackets for the dynamic variables of the compressible fluid. Finally, as a result of the coupling between the charged compressible fluid and the electromagnetic field we have calculated two Dirac brackets between the fluid and electromagnetic fields, which are both zero when there is no coupling between them.