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We derive the general exact forms of the Wigner function, of mean values ofconserved currents, of the spin density matrix, of the spin polarization vectorand of the distribution function of massless particles for the free Dirac fieldat global thermodynamic equilibrium with rotation and acceleration, extendingour previous results obtained for the scalar field. The solutions are obtainedby means of an iterative method and analytic continuation, which leads toformal series in thermal vorticity. In order to obtain finite values, we extendto the fermionic case the method of analytic distillation introduced forbosonic series. The obtained mean values of the stress-energy tensor, vectorand axial currents for the massless Dirac field are in agreement with knownanalytic results in the special cases of pure acceleration and pure rotation.By using this approach, we obtain new expressions of the currents for the moregeneral case of combined rotation and acceleration and, in the pureacceleration case, we demonstrate that they must vanish at the Unruhtemperature.

Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: Dirac field