Noncommutative Dipole QED

Abstract

The noncommutative dipole QED is studied in detail for the matter fields in the adjoint representation. The axial anomaly of this theory is calculated in two and four dimensions using various regularization methods. The Ward-Takahashi identity is proved by making use of a non-perturbative path integral method. The one-loop $\beta$-function of the theory is calculated explicitly. It turns out that the value of the $\beta$-function depends on the direction of the dipole length $\vec{L}$, which defines the noncommutativity. Finally using a semi-classical approximation a non-perturbative definition of the form factors is presented and the anomalous magnetic moment of this theory at one-loop order is computed.

1+30 pages, LaTeX, axodraw.sty, 7 figures

References in corpus (2)

• Noncommutative Field Theory
• General structure of the photon self-energy in non-commutative QED

Cited by in corpus (9)

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• Holographic Description of Glueball and Baryon in Noncommutative Dipole Gauge Theory
• Planar and Nonplanar Konishi Anomalies and Effective Superpotential for Noncommutative N=1 Supersymmetric U(1)
• Wilson-t'Hooft Loops in Finite-Temperature Non-commutative Dipole Field Theory from Dual Supergravity
• Chiral Dynamics and Meson with Non-commutative Dipole Field in Gauge/Gravity Dual