Free energy fluctuations of the two-spin spherical SK model at critical temperature

@article{Landon2022FreeEF,
  title={Free energy fluctuations of the two-spin spherical SK model at critical temperature},
  author={Benjamin Landon},
  journal={Journal of Mathematical Physics},
  year={2022}
}
  • B. Landon
  • Published 13 October 2020
  • Mathematics
  • Journal of Mathematical Physics
We investigate the fluctuations of the free energy of the two-spin spherical Sherrington–Kirkpatrick model at critical temperature β c = 1. When β = 1, we find asymptotic Gaussian fluctuations with variance [Formula: see text], confirming in the spherical case a physics prediction for the SK model with Ising spins. We, furthermore, prove the existence of a critical window on the scale [Formula: see text]. For any [Formula: see text], we show that the fluctuations are at most order [Formula: see… 
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