Noncommutative complex Grosse-Wulkenhaar model

TL;DR

This paper applies the noncommutative Noether theorem to the complex Grosse-Wulkenhaar model, extending previous work, and discusses energy-momentum conservation, broken dilatation symmetry, and gauge currents within a noncommutative framework.

Contribution

It extends the noncommutative Noether theorem to the complex Grosse-Wulkenhaar model and analyzes conservation laws and symmetries in this noncommutative setting.

Findings

Energy-momentum tensors are locally conserved using Moyal algebraic techniques.

Broken dilatation symmetry is identified and discussed.

Explicit forms of noncommutative gauge currents are derived.

Abstract

This paper stands for an application of the noncommutative (NC) Noether theorem, given in our previous work [AIP Proc 956 (2007) 55-60], for the NC complex Grosse-Wulkenhaar model. It provides with an extension of a recent work [Physics Letters B 653 (2007) 343-345]. The local conservation of energy-momentum tensors (EMTs) is recovered using improvement procedures based on Moyal algebraic techniques. Broken dilatation symmetry is discussed. NC gauge currents are also explicitly computed.