  Based on the quantum kinetic equations for systems with SU(2) structure,
regularization-free density and pseudospin currents are calculated in graphene
realized as the infinite mass-limit of electrons with quadratic dispersion and
a proper spin-orbit coupling. Correspondingly the currents possess no
quasiparticle part but only anomalous parts. The intraband and interband
conductivities are discussed with respect to magnetic fields and magnetic
domain puddles. It is found that the magnetic field and meanfield of domains
can be represented by an effective Zeeman field. For large Zeeman fields the
dynamical conductivities become independent of the density and are universal in
this sense. The different limits of vanishing density, relaxation, frequency,
and Zeeman field are not interchangeable. The optical conductivity agrees well
with the experimental values using screened impurity scattering and an
effective Zeeman field. The universal value of Hall conductivity is shown to be
modified due to the Zeeman field. The pseudospin current reveals an anomaly
since a quasiparticle part appears though it vanishes for particle currents.
The density and pseudospin response functions to an external electric field are
calculated and the dielectric function is discussed with respect to collective
excitations. A frequency and wave-vector range is identified where the
dielectric function changes sign and the repulsive Coulomb potential becomes
effectively attractive allowing Cooper pairing.
