Finite dimensional corrections to mean field in a short-range p-spin glassy model
Matteo Campellone, Giorgio Parisi, Paola Ranieri
Abstract
In this work we discuss a short range version of the p-spin model. The model is provided with a parameter that allows to control the crossover with the mean field behaviour. We detect a discrepancy between the perturbative approach and numerical simulation. We attribute it to non-perturbative effects due to the finite probability that each particular realization of the disorder allows for the formation of regions where the system is less frustrated and locally freezes at a higher temperature.
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