https://doi.org/10.1140/epjc/s10052-018-6015-6
Regular Article - Theoretical Physics
Noncommutative electrodynamics from 
model of noncommutative gravity
Faculty of Physics, University of Belgrade, Studentski trg 12, Belgrade, 11000, Serbia
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Received:
2
April
2018
Accepted:
22
June
2018
Published online:
5
July
2018
Abstract
In our previous work we have constructed a model of noncommutative (NC) gravity based on gauge symmetry. In this paper we extend the model by adding matter fields: fermions and a U(1) gauge field. Using the enveloping algebra approach and the Seiberg–Witten map we construct actions for these matter fields and expand the actions up to first order in the noncommutativity (deformation) parameter. Unlike in the case of pure NC gravity, first non-vanishing NC corrections are linear in the noncommutativity parameter. In the flat space–time limit we obtain a non-standard NC Electrodynamics. Finally, we discuss effects of noncommutativity on relativistic Landau levels of an electron in a constant background magnetic field and in addition we calculate the induced NC magnetic dipole moment of the electron.
Key words: NC [see pdf] gravity / NC electrodynamics / NC Landau levels
© The Author(s), 2018
