Axial-Anomaly in Noncommutative QED and Pauli-Villars Regularization

Abstract

We calculate the $U(1)$ axial-anomaly in two and four dimensions using a modified path integral method coupled to a Pauli-Villars regulator field in the noncommutative QED. Pauli-Villars regularization method provides us with unambiguous way to connect the modified path integral formalism with perturbative axial Ward identities at each step of calculations.

arXiv comment1+15 Pages, No figures

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• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Noncommutative Geometry From Strings and Branes
• Some Aspects of Deformations of Supersymmetric Field Theories
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• SL(2,C) Gravity with Complex Vierbein and Its Noncommutative Extension
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Cited by in corpus (3)

• Integral Transforms and $\mathcal{P}\mathcal{T}$-symmetric Hamiltonians
• Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
• Path integral analysis of the axial anomaly in Very Special Relativity