  In the most general geometric background, we study Dirac spinor fields with
particular emphasis given to the explicit form of their gauge momentum and the
way in which this can be inverted so to give the expression of the
corresponding velocity; we study how zitterbewegung affects the motion of
particles, focusing on the internal dynamics involving the chiral parts; we
discuss the connections to field quantization, sketching in what way anomalous
terms may be gotten eventually.
