# Faddeev-Jackiw approach of the noncommutative spacetime Podolsky electromagnetic theory

## TL;DR

This paper applies the Faddeev-Jackiw method to analyze the noncommutative Podolsky electromagnetic theory, a higher derivative model, to derive its Dirac brackets and explore its quantization.

## Contribution

It introduces a novel application of the Faddeev-Jackiw approach to the noncommutative Podolsky theory, addressing its constrained structure.

## Key findings

- Derived Dirac brackets for the noncommutative Podolsky theory
- Provided a framework for quantizing the constrained noncommutative model
- Enhanced understanding of higher derivative noncommutative field theories

## Abstract

The interest in higher derivatives field theories has its origin mainly in their influence concerning the renormalization properties of physical models and to remove ultraviolet divergences. The noncommutative Podolsky theory is a constrained system that cannot by directly quantized by the canonical way. In this work we have used the Faddeev-Jackiw method in order to obtain the Dirac brackets of the NC Podolsky theory.