Noncommutative Dipole QED

Details Noncommutative Dipole QED Noncommutative Dipole QED

2002-06-02

arxiv.org/abs/hep-th/0206009v1

Int.J.Mod.Phys. A18 (2003) 97-126

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X03012242

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.

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