Perturbative and non-perturbative aspects of QED_{3}

Understand

In this work we review various findings in the planar quantum physics with the special emphasis on the two-component quantum electrodynamics in three-dimensional spacetime (QED_{3}) with the Chern-Simons (CS) term.

• First the classical electrodynamics is briefly outlined.
• Then we construct and classify the unitary irreducible representations of the Poincare group and connect them to various covariant fields.
• Subtleties with discrete symmetries arising in QED_{3} are also discussed.