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The mean spin polarization vector of spin 1/2 particles in a relativisticfluid at local thermal equilibrium (LTE) in different pseudogauges (PGs), i.e.,with different choices for the decomposition of orbital and spin angularmomentum, is obtained. The spin polarization obtained in the canonical PGdiffers from the one obtained in the Belinfante PG. It is found that thisdifference can not be written by replacing the thermal vorticity with the spinpotential in the usual polarization formula. Other PG choices affect thecontribution of thermal shear to the spin polarization. Therefore, the choiceof a PG affects the predictions for the polarization measured in heavy-ioncollisions. In general, it is shown that the Wigner function of anoninteracting Dirac field at LTE is affected by the PG transformations.Explicit expressions of the mean axial current are also calculated and it isfound that even the axial vortical effect conductivity depends on the PG.

Pseudogauge dependence of the spin polarization and of the axial vortical effect