How to compute the thermodynamics of a glass using a cloned liquid

The recently proposed strategy for studying the equilibrium thermodynamics of the glass phase using a molecular liquid is reviewed and tested in details on the solvable case of the p-spin model. We derive the general phase diagram, and confirm the validity of this procedure. We point out the efficacy of a system of two weakly coupled copies in order to identify the glass transition, and the necessity to study a system with m<1 copies (‘clones’) of the original problem in order to derive the thermodynamic properties of the glass phase.