2006/08/31 by N. Sadooghi, Amir Jafari Salim, A. Jafari Salim
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Chiral anomaly #Conformal anomaly #Conformal field theory #Fermion #Gauge anomaly #Gauge theory #Geometry #Geophysics #Magnetic anomaly #Magnetic field #Massless particle #Mathematical physics #Mathematics #Mixed anomaly #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Particle physics theoretical and experimental studies #Physics #Quantum electrodynamics #Quantum mechanics #Supersymmetric gauge theory #hep-th
paper · pdf · doi:10.1103/physrevd.74.085032
published as Phys.Rev.D74:085032,2006 · 18 pp, no figure. v2: The version accepted to be publidhed in PRD
arxiv created 2006/10/07 · openalex publication_date 2006/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.