Can a disc dynamo generate large-scale magnetic fields?

A dynamo process of some kind is widely believed to be able to operate in accretion discs and simple physical considerations suggest that fields generated in this way would have a canonical length-scale of the order of the disc thickness, H. However, in order to drive a hydromagnetic wind from a radius, R, it seems likely that the disc must be threaded by poloidal magnetic fields with length-scales of order R or greater. We investigate how an inverse cascade process, involving reconnection of magnetic loops above and below the disc, might, in principle, lead to large-scale fields being generated by the dynamo.