  The phase behavior of hard-sphere particles interacting with a short-ranged
potential is studied in the limit of infinite space dimensionality via the
Franz-Parisi approach and the replica method of disordered systems. For an
attractive square-well potential the phase diagram exhibits reentrancy of the
liquid-glass transition, multiple glass states and glass-glass transition. For
a repulsive square shoulder potential no such special features are observed.
Our results show that the Franz-Parisi approach can be consistently extended to
deal with higher-order glass singularities and that interparticle attraction is
crucial for complex glassy behavior in large enough dimensions, at least for
monodisperse systems.
