发表机构
Medical University of South Carolina; Smith College（南卡罗来纳医科大学; 史密斯学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文填补了 Jones 提出的 Ising 与 Potts 模型产生链环不变量中缺失的修正因子细节，并证明这些不变量可由 Jones 多项式在特定 Boltzmann 权重处求值得到。
AI 中文摘要
Jones 描述了统计力学中的 Ising 与 Potts 模型如何在适当选择 Boltzmann 权重的情况下，产生一个有向链环的不变量。然而，Jones 提出的 Boltzmann 权重仅在他未提及的修正因子下才有效。我们以两种不同方式填补了缺失的细节。我们还证明了所有这些不变量（我们称之为 Ising 与 Potts 不变量）均可通过将 Jones 多项式在 $t$ 等于这些 Boltzmann 权重之一处求值得到。
英文摘要
Jones described how the Ising and Potts models from statistical mechanics give rise, with appropriate choices of Boltzmann weights, to invariants of an oriented link. The Boltzmann weights that Jones proposed, however, work only with a correction factor that he does not mention. We fill in the missing details in two different ways. We also show that all of these invariants, which we call the Ising and Potts invariants, are given by evaluating the Jones polynomial at $t$ equal to one of these Boltzmann weights.
Comments12 pages, 6 figure, 2 tables, comments welcome!
