AXIAL ANOMALY IN NONCOMMUTATIVE QED ON R4

DOI10.1142/S0217751X01004384zbMath1025.81046arXivhep-th/0002143MaRDI QIDQ2746661

Néda Sadooghi, F. Ardalan

Publication date: 10 March 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0002143

zbMATH Keywords

axial anomalyWard identitynoncommutative field theory

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (18)

Noncommutative topological theories of gravity ⋮ NONCOMMUTATIVE DIPOLE QED ⋮ One-Loop Renormalization of General Noncommutative Yang–Mills Field Model Coupled to Scalar and Spinor Fields ⋮ PLANAR AND NONPLANAR KONISHI ANOMALIES AND EFFECTIVE SUPERPOTENTIAL FOR NONCOMMUTATIVE ${\mathcal N}=1$ SUPERSYMMETRIC U(1) ⋮ Topics in noncommutative geometry inspired physics ⋮ ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES ⋮ Anomaly cancellation in three-dimensional noncommutative gauge theories ⋮ Chiral gauge anomalies on noncommutative \(\mathbb R^ 4\). ⋮ A note on consistent anomalies in noncommutative YM theories. ⋮ Induced Chern-Simons and WZW action in noncommutative spacetime. ⋮ Multiloop string amplitudes with \(B\)-field and noncommutative QFT ⋮ A non-commutative version of the minimal supersymmetric standard model ⋮ Chiral anomalies in noncommutative YM theories ⋮ The covariant form of the gauge anomaly on noncommutative \(\mathbb R^{2n}\) ⋮ ON THE ANOMALIES AND SCHWINGER TERMS IN NONCOMMUTATIVE GAUGE THEORIES ⋮ Comments on perturbative dynamics of non-commutative Yang-Mills theory ⋮ Axial-anomaly in noncommutative QED and Pauli–Villars regularization ⋮ Consistent anomalies in translation-invariant noncommutative gauge theories

Cites Work

• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• String theory and noncommutative geometry
• One-Loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ℝ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi /></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>
• Perturbative analysis on infrared aspects of noncommutative QED on \(\mathbb R^ 4\).
• Chiral gauge anomalies on noncommutative \(\mathbb R^ 4\).
• The IR/UV connection in non-commutative gauge theories

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