ANOMALY AND NONPLANAR DIAGRAMS IN NONCOMMUTATIVE GAUGE THEORIES

DOI10.1142/S0217751X02005694zbMath0993.81049arXivhep-th/0009233OpenAlexW3104694978MaRDI QIDQ4330684

F. Ardalan, Néda Sadooghi

Publication date: 9 June 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/0009233

zbMATH Keywords

gauge invariancenoncommutative gauge theorychiral gauge anomalynonplanar triangle diagrams

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic interaction; quantum electrodynamics (81V10) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

NONCOMMUTATIVE DIPOLE QED, PLANAR AND NONPLANAR KONISHI ANOMALIES AND EFFECTIVE SUPERPOTENTIAL FOR NONCOMMUTATIVE ${\mathcal N}=1$ SUPERSYMMETRIC U(1), ⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills, Lattice perturbation theory in noncommutative geometry and parity anomaly in 3d noncommutative QED, Groenewold-Moyal product, α*-cohomology, and classification of translation-invariant non-commutative structures, On non-commutative N=2 super Yang-Mills, *-Trek II: *\(_n\) operations, open Wilson lines and the Seiberg-Witten map, A non-commutative version of the minimal supersymmetric standard model, The covariant form of the gauge anomaly on noncommutative \(\mathbb R^{2n}\), ON THE ANOMALIES AND SCHWINGER TERMS IN NONCOMMUTATIVE GAUGE THEORIES, Consistent anomalies in translation-invariant noncommutative gauge theories

Cites Work

• Observables of non-commutative gauge theories
• Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory
• D-branes and the noncommutative torus
• The origin of chiral anomaly and the noncommutative geometry
• AXIAL ANOMALY IN NONCOMMUTATIVE QED ON R⁴
• Strings in background electric field, space/time noncommutativity and a new noncritical string theory
• Perturbative analysis on infrared aspects of noncommutative QED on \(\mathbb R^ 4\).
• A note on gauge invariant operators in noncommutative gauge theories and the Matrix model
• The IR/UV connection in non-commutative gauge theories
• Noncommutative perturbation in superspace
• Open strings in a B-field background as electric dipoles.
• Non-commutative world-volume interactions on D-brane and Dirac-Born-Infeld action.
• Complexified gravity in noncommutative spaces.
• *-Trek: the one-loop \(N=4\) noncommutative SYM action