  We discuss an effective spin-glass Hamiltonian which can be used to study the
glassy-like dynamics observed in the metastable states of the Hamiltonian Mean
Field (HMF) model. By means of the Replica formalism, we were able to find a
self-consistent equation for the glassy order parameter which reproduces, in a
restricted energy region below the phase transition, the microcanonical
simulations for the polarization order parameter recently introducted in the
HMF model.
