标题： Itzykson-Zuber相关函数来自特征展开 显示英文标题

标题： Itzykson-Zuber correlators from character expansion

摘要： 我们演示了Itzykson-Zuber (IZ) 模型中关于Schur多项式的特征展开与旧的配对关联公式的一致性。关联函数的一个重要新特征是它们在本征值上不对称——因此不能仅通过Schur多项式来表示。相反，我们证明了可以通过Schur导数来表达。这为研究任意阶特征展开中的任意IZ关联函数开辟了一条新途径。 显示英文摘要

摘要： We demonstrate the consistency of character expansion for the Itzykson-Zuber (IZ) model in terms of Schur polynomials with the old formulas for pair correlators with the IZ measure. An essential new feature of the correlators is that they are not symmetric in eigenvalues - and thus can not be expressed through Schur polynomials only. Instead, we demonstrate that an expression is possible in terms of Schur derivatives. This opens a new way to study arbitrary IZ correlators of any order in character expansion.