论文标题
通过schwartzman同态的1D ising模型分区函数零的差距标签
Gap Labels for Zeros of the Partition Function of the 1D Ising Model via the Schwartzman Homomorphism
论文作者
论文摘要
受到1995年Baake-grimm--pisani论文的启发，我们旨在解释经验观察，即Lee的分布 - Yang-Zeros的分布与一维Ising模型相对应的Zeros似乎遵循了差距标记定理。随之而来的是结合了两种主要成分：首先，1D ISING模型的传输矩阵形式主义与表面上无关的矩阵形式主义之间的关系，从而产生单位圆上正交多项式的Szegő递归，其次，第二，CMV矩阵的差距标记为CMV矩阵。
Inspired by the 1995 paper of Baake--Grimm--Pisani, we aim to explain the empirical observation that the distribution of Lee--Yang zeros corresponding to a one-dimensional Ising model appears to follow the gap labelling theorem. This follows by combining two main ingredients: first, the relation between the transfer matrix formalism for 1D Ising model and an ostensibly unrelated matrix formalism generating the Szegő recursion for orthogonal polynomials on the unit circle, and second, the gap labelling theorem for CMV matrices.
