AI 中文总结
针对Sherrington–Kirkpatrick自旋玻璃边缘态的计数问题，采用一步副本对称性破缺计算其淬火复杂度，发现最低边缘态可能是平衡态本身。
AI 中文摘要
在Sherrington–Kirkpatrick模型中，指数级多的亚稳态是边缘态，因此对其计数需要破缺BRST超对称或双群副本Ansatz。四十年来，该复杂度仅在退火近似下已知，而退火近似在低自由能时不稳定，会预测出低于Parisi平衡自由能的态。我们采用一步副本对称性破缺计算其淬火复杂度，该复杂度会在退火曲线变得不稳定的位置离开退火曲线，并在全RSB平衡自由能附近消失，因此最低边缘态很可能就是平衡态本身。
英文摘要
In the Sherrington-Kirkpatrick model the exponentially many metastable states are marginal, so counting them requires breaking the BRST supersymmetry or a two-group replica Ansatz. For four decades this complexity was known only in the annealed approximation, which is unstable at low free energy and predicts states below the Parisi equilibrium free energy. We compute it quenched, with one step of replica symmetry breaking. It leaves the annealed curve where it becomes unstable and vanishes next to the full-RSB equilibrium free energy: the lowest marginal states are thus plausibly the equilibrium states themselves.
Comments18 pages, 5 figures
