Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories

TL;DR

This paper derives explicit forms of consistent anomalies and Schwinger terms in translation-invariant noncommutative gauge theories using matrix model formulations, advancing understanding of their quantum properties.

Contribution

It provides the first explicit derivation of anomalies and Schwinger terms in translation-invariant noncommutative gauge theories via matrix models.

Findings

Explicit forms of consistent anomalies derived

Explicit forms of consistent Schwinger terms derived

Enhanced understanding of quantum aspects of noncommutative gauge theories

Abstract

Translation-invariant noncommutative gauge theories are discussed in the setting of matrix modeled gauge theories. Using the matrix model formulation the explicit form of consistent anomalies and consistent Schwinger terms for translation-invariant noncommutative gauge theories are derived.