A tentative replica study of the glass transition

In this paper we propose a method aiming at a quantitative study of the glass transition in a system of interacting particles. In spite of the absence of any quenched disorder, we introduce a replicated version of the hypernetted chain equations. The solution of these equations, for hard or soft spheres, signals a transition to the glass phase at reasonable values of the density, and finds a nice form for the correlations in the glass phase. However, the predicted value of the energy and specific heat in the glass phase are wrong, calling for an improvement of this method.

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