  The properties of a massive fermion field undergoing rigid rotation at finite
temperature and chemical potential are discussed. The polarisation imbalance is
taken into account by considering a helicity chemical potential, which is dual
to the helicity charge operator. The advantage of the proposed approach is
that, as opposed to the axial current, the helicity charge current remains
conserved at finite mass. A computation of thermal expectation values of the
vector, helicity and axial charge currents, as well as of the fermion
condensate and stress-energy tensor is provided. In all cases, analytic
constitutive equations are derived for the non-equilibrium transport terms, as
well as for the quantum corrections to the equilibrium terms (which are derived
using an effective relativistic kinetic theory model for fermions with helicity
imbalance) in the limit of small masses. In the context of the parameters which
are relevant to relativistic heavy ion collisions, the expressions derived in
the massless limit are shown to remain valid for masses up to the thermal
energy, except for the axial charge conductivity in the azimuthal direction,
which presents strong variations with the particle mass.
