The Energy-Momentum Tensor in Noncommutative Gauge Field Models

TL;DR

This paper explores how to construct energy-momentum tensors in noncommutative gauge theories, adapting methods from commutative theories to address unique challenges posed by noncommutativity.

Contribution

It extends Jackiw's method to noncommutative gauge models, providing a systematic way to obtain symmetric and gauge-invariant energy-momentum tensors.

Findings

Successfully constructed symmetric, gauge-invariant stress tensors for noncommutative gauge theories.

Identified key differences and challenges in extending commutative methods to noncommutative cases.

Analyzed the properties and implications of these tensors in noncommutative frameworks.

Abstract

We discuss the different possibilities of constructing the various energy-momentum tensors for noncommutative gauge field models. We use Jackiw's method in order to get symmetric and gauge invariant stress tensors--at least for commutative gauge field theories. The noncommutative counterparts are analyzed with the same methods. The issues for the noncommutative cases are worked out.