  Physical arguments are presented to show that the Hall anomaly is an effect
of the vortex many-body correlation rather than that of an individual vortex.
Quantitatively, the characteristic energy scale in the problem, the vortex
vacancy formation energy, is obtained for thin films. At low temperatures a
scaling relation between the Hall and longitudinal resistivities is found, with
the power depending on sample details. Near the superconducting transition
temperature and for small magnetic fields the Hall conductivity is found to be
proportional to the inverse of the magnetic field and to the quadratic of the
difference between the measured and the transition temperatures.
