  In addition to the scalar Shakura-Sunyaev $\alpha_{ss}$ turbulent viscosity
transport term used in simple analytic accretion disc modeling, a pseudoscalar
transport term also arises. The essence of this term can be captured even in
simple models for which vertical averaging is interpreted as integration over a
half-thickness and one separately studies each hemisphere. The additional term
highlights a complementarity between mean field magnetic dynamo theory and
accretion disc theory treated as a mean field theory. Such pseudoscalar terms
have been studied, and can lead to large scale magnetic field and vorticity
growth. Here it is shown that vorticity can grow even in the simplest azimuthal
and half-height integrated disc model, for which mean quantities depend only on
radius. The simplest vorticity growth solutions seem to have scales and vortex
survival times consistent those required for facilitating planet formation.
Also it is shown that when the magnetic back-reaction is included to lowest
order, the pseudoscalar driving the magnetic field growth and that driving the
vorticity growth will behave differently with respect to shearing and
non-shearing flows: the former can reverse sign in the two cases, while the
latter will have the same sign.
