Anomalies in Noncommutative Dipole Field Theories

TL;DR

This paper investigates chiral anomalies in fermionic noncommutative dipole field theories, deriving explicit anomaly expressions in 2D and 4D using Fujikawa's method.

Contribution

It provides the first explicit calculation of anomalies in noncommutative dipole theories for Dirac and chiral fermions in multiple dimensions.

Findings

Explicit anomaly expressions for Dirac and chiral fermions in 2D and 4D.

Demonstrates the impact of noncommutativity on chiral symmetry breaking.

Provides a foundation for further study of quantum anomalies in noncommutative geometries.

Abstract

We study chiral symmetries of fermionic non commutative dipole theories. By using Fujikawa's approach we obtain explicit expressions of the anomalies for Dirac and chiral fermions in 2 and 4 dimensions.