Effects of Lorentz violation in planar electromagnetism due to external field sources
The search for a theory capable of solving the open problems in physics, including describing precisely what happens in the Planck scale, opened space for the possibility of violations
of fundamental symmetries, such as Lorentz and CPT. Attempts to include these symmetry
violations in the Standard Model culminated in the Standard Model Extension, which includes all
the possible modifications respecting the fundamental and proven properties that the former has,
such as the gauge structure.
In this work, we study the photon sector of the Standard Model Extension after a dimensional reduction procedure that leads us to a (1+2) dimensions system, resulting in a model that
describes a planar electromagnetism with the addition of terms that exist because of the Lorentzand CPT-violating parameters. This configuration brings some peculiarities of great physical
interest, both theoretical and experimental, and that are only present as a result of symmetry
violations.
To highlight these peculiarities, we describe the main aspects of the model and analyze
the interactions in systems with field sources, such as electrical charges and scalar charges, in
addition to a more complex source known as Dirac point. We also study the electromagnetic
fields generated by these sources in the symmetry breaking scenario.
As electromagnetism is very well known and its phenomena have been extensively tested
and described, it was possible to make a very assertive comparative analysis of the physical
consequences that result from violations of relativistic symmetries in the planar model.