Huyghens principle, Planck law: peculiarities in the behavior of planar photons

Abstract

Huyghens principle and Planck law are studied in Maxwell and Maxwell–Chern–Simons frameworks in (2+1) dimensions. Contrary to (3+1) dimensions, massless photons are shown to violate Huyghens principle in planar world. In addition, we obtain that Planck law is no longer proportional to ν 3, but to the squared frequency, ν 2, of the planar photons. We also briefly discuss possible physical consequences of these results.