FRSB in the SK spin glass: convergence to full-interval support at zero temperature

2026/07/20 by Hong-Bin Chen
#math.PR #cond-mat.dis-nn #math-ph #math.MP

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Abstract

We prove full replica symmetry breaking for the zero-field Sherrington-Kirkpatrick model at zero temperature: the Parisi minimizer is absolutely continuous, has a smooth density, and has support [0,1). At inverse temperature β>1, [arxiv.org/abs/2607.11756v3] recently proved that the Parisi measure has support [0,q_β]. Here, we show q_β converges to 1 as β→∞.

Citations

• Full replica symmetry breaking in the Sherrington-Kirkpatrick model

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