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Noncommutative dipole QED

Sadooghi, N ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.1142/S0217751X03012242
  3. Publisher: 2003
  4. Abstract:
  5. 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 nonperturbative path integral method. The one-loop β-function of the theory is calculated explicitly. It turns out that the value of the β-function 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 one-loop order is computed
  6. Keywords:
  7. β-function ; Axial anomaly ; Form factor ; Noncommutative dipole field theory ; Renormalization constant ; Ward-Takahashi identity
  8. Source: International Journal of Modern Physics A ; Volume 18, Issue 1 , 2003 , Pages 97-126 ; 0217751X (ISSN)
  9. URL: https://www.worldscientific.com/doi/abs/10.1142/S0217751X03012242