Hamiltonian formulation of nonAbelian noncommutative gauge theories

TL;DR

This paper develops a Hamiltonian framework for nonAbelian noncommutative gauge theories, analyzing their algebraic structure, constraints, and gauge invariance to deepen understanding of their theoretical foundations.

Contribution

It introduces a Hamiltonian formulation for nonAbelian noncommutative gauge theories, detailing the algebraic structure and gauge invariance constraints.

Findings

Derived first class constraints and Hamiltonian for the theory

Analyzed the algebraic structure of the noncommutative symmetry group

Established the form of gauge invariance in the Hamiltonian framework

Abstract

We implement the Hamiltonian treatment of a nonAbelian noncommutative gauge theory, considering with some detail the algebraic structure of the noncommutative symmetry group. The first class constraints and Hamiltonian are obtained and their algebra derived, as well as the form of the gauge invariance they impose on the first order action.