  We derive the general exact forms of the Wigner function, of mean values of
conserved currents, of the spin density matrix, of the spin polarization vector
and of the distribution function of massless particles for the free Dirac field
at global thermodynamic equilibrium with rotation and acceleration, extending
our previous results obtained for the scalar field. The solutions are obtained
by means of an iterative method and analytic continuation, which leads to
formal series in thermal vorticity. In order to obtain finite values, we extend
to the fermionic case the method of analytic distillation introduced for
bosonic series. The obtained mean values of the stress-energy tensor, vector
and axial currents for the massless Dirac field are in agreement with known
analytic results in the special cases of pure acceleration and pure rotation.
By using this approach, we obtain new expressions of the currents for the more
general case of combined rotation and acceleration and, in the pure
acceleration case, we demonstrate that they must vanish at the Unruh
temperature.
