A spin glass model on a hierarchical lattice

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Abstract
We study a spin glass model on a hierarchical lattice in the limit in which the number of rungs, p at each stage of the hierarchy tends to infinity. In the spin glass phase, the analytic continuation from positive integer to real numbers of replicas is found to be non-unique. However, replica symmetry is not broken. These conclusions remain true in a 1/p expansion about the p → ∞ limit

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