2014/08/07 by E. C. Marino, Leandro O. Nascimento, Van Sérgio Alves +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.90.105003
published as Phys. Rev. D 90, 105003, (2014) · 6 pages, no figures
arxiv created 2014/08/07 · arxiv updated 2015/01/07
We examine the unitarity of a class of generalized Maxwell U(1) gauge theories in (2+1) D containing the pseudodifferential operator \Box1-α, for α∈ [0,1). We show that only Quantum Electrodynamics (QED3) and its generalization known as Pseudo Quantum Electrodynamics (PQED), for which α=0 and α= 1/2, respectively, satisfy unitarity. The latter plays an important role in the description of the electromagnetic interactions of charged particles confined to a plane, such as in graphene or in hetero-junctions displaying the quantum Hall effect.