  We study the m-component vector spin glass in the limit m to infinity on a
Bethe lattice. The cavity method allows for a solution of the model in a
self-consistent field approximation and for a perturbative solution of the full
problem near the phase transition. The low temperature phase of the model is
analyzed numerically and a generalized Bose-Einstein condensation is found, as
in the fully connected model. Scaling relations between four distinct
zero-temperature exponents are found.
