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Paper IPM / P / 6882  


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 WardTakahashi identity is proved by making use of a nonperturbative path integral method. The oneloop βfunction of the theory is calculated explicitly. It turns out that the value of the βfunction depends on the direction of the dipole length →L, which defines the noncommutativity. Finally using a semiclassical approximation a nonperturbative definition of the form factors is presented and the anomalous magnetic moment of this theory at oneloop order is computed.
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