  The low-energy quasi-excitations in graphene are known to be described as
Dirac fermions in 2+1 dimensions. Adopting field-theoretical approach we
investigate the interaction of these quasi-particles with 3+1 dimensional
electromagnetic field focusing on the optical properties of suspended graphene
layers and their Casimir interaction with ideal conductor. The magnitude of
predicted effects (the rotation of polarization of light and the Casimir force)
appears to be well within modern experimental capabilities.
