Finite-dimensional corrections to the mean field in a short-rangep-spin glassy model
Physical Review B (Condensed Matter)
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.