  The imposition of Dirichlet boundary conditions in lattice computations
obstructs the formation of a chiral condensate. We use chiral perturbation
theory and meson models to address the effect of a Dirichlet boundary on chiral
symmetry breaking. While pions are the longest-range modes in QCD, the
restoration of chiral symmetry due to a boundary is shown not to depend upon
the pion Compton wavelength but rather on that of the sigma meson. Power-law
finite size corrections are exposed, and require prohibitively large lattices
to overcome. We further speculate on the frustration of the chiral condensate
for the case of confinement to the surface of a sphere.
