# Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane

## TL;DR

This paper develops a Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane, aiming to identify Hamiltonian generators and analyze gauge and canonical transformations.

## Contribution

It introduces a Hamilton-Jacobi approach to Podolsky's electromagnetic theory specifically on the null-plane, which is a novel application.

## Key findings

- Complete set of Hamiltonian generators derived
- Analysis of gauge transformations conducted
- Canonical transformations characterized

## Abstract

We develop the Hamilton-Jacobi formalism for Podolsky's electromagnetic theory on the null-plane. The main goal is to build the complete set of Hamiltonian generators of the system, as well as to study the canonical and gauge transformations of the theory.