Translational-invariant noncommutative gauge theory
F. Ardalan, N. Sadooghi

TL;DR
This paper thoroughly analyzes a generalized translational invariant noncommutative gauge theory, detailing its structure, gauge dynamics, and axial anomalies, contributing to the understanding of noncommutative field theories.
Contribution
It provides a complete description of translational invariant noncommutative structures and derives axial anomalies within this framework.
Findings
Complete characterization of translational invariant noncommutative structures
Derivation of planar and nonplanar axial anomalies
Enhanced understanding of gauge theories in noncommutative spaces
Abstract
A generalized translational invariant noncommutative field theory is analyzed in detail, and a complete description of translational invariant noncommutative structures is worked out. The relevant gauge theory is described, and the planar and nonplanar axial anomalies are obtained.
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