  The Dirac operator describing the coupling of continuum quark fields to SU(2)
center vortex world-surfaces composed of elementary squares on a hypercubic
lattice is constructed. It is used to evaluate the quenched Dirac spectral
density in the random vortex world-surface model, which previously has been
shown to quantitatively reproduce both the confinement properties and the
topological susceptibility of SU(2) Yang-Mills theory. Under certain conditions
on the modeling of the vortex gauge field, a behavior of the quenched chiral
condensate as a function of temperature is obtained which is consistent with
measurements in SU(2) lattice Yang-Mills theory.
