Noncommutativity vs. Transversality in QED in a strong magnetic field

Details Noncommutativity vs. Transversality in QED in a strong magnetic field Noncommutativity vs. Transversality in QED in a strong magnetic field

2005-07-07

arxiv.org/abs/hep-th/0507083v2

Int.J.Mod.Phys. A20 (2005) 6307-6316

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 2 figures; references added; based on talk given at The 27th Annual Montreal-Rochester-Syracuse-Toronto Conference o

Scientific paper

10.1142/S0217751X05029332

Quantum electrodynamics (QED) in a strong constant magnetic field is investigated from the viewpoint of its connection with noncommutative QED. It turns out that within the lowest Landau level (LLL) approximation the 1-loop contribution of fermions provides an effective action with the noncommutative U(1)_{NC} gauge symmetry. As a result, the Ward-Takahashi identities connected with the initial U(1) gauge symmetry are broken down in the LLL approximation. On the other hand, it is shown that the sum over the infinite number of the higher Landau levels (HLL's) is relevant despite the fact that each contribution of the HLL is suppressed. Owing to this nondecoupling phenomenon the transversality is restored in the whole effective action. The kinematic region where the LLL contribution is dominant is also discussed.

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