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Axial anomaly of QED in a strong magnetic field and noncommutative anomaly

Sadooghi, N ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevD.74.085032
  3. Publisher: 2006
  4. Abstract:
  5. The Adler-Bell-Jackiw (ABJ) anomaly of a 3+1 dimensional QED is calculated in the presence of a strong magnetic field. It is shown that in the regime with the lowest Landau level (LLL) dominance a dimensional reduction from D=4 to D=2 dimensions occurs in the longitudinal sector of the low energy effective field theory. In the chiral limit, the resulting anomaly is therefore comparable with the axial anomaly of a two-dimensional massless Schwinger model. It is further shown that the UA(1) anomaly of QED in a strong magnetic field is closely related to the nonplanar axial anomaly of a conventional noncommutative U(1) gauge theory. © 2006 The American Physical Society
  6. Keywords:
  7. High Energy Physics - Theory (hep-th)
  8. Source: Physical Review D - Particles, Fields, Gravitation and Cosmology ; Volume 74, Issue 8 , 2006 ; 15507998 (ISSN)
  9. URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.74.085032