Character expansions, Itzykson-Zuber integrals, and the QCD partition function
Character expansions, Itzykson-Zuber integrals, and the QCD partition function
复制标题
字符展开、Itzykson-Zuber 积分和 QCD 配分函数
DOI：
10.1103/physrevd.62.085017
复制
发表时间：
2000
影响因子：
5
通讯作者：
A. Balantekin
中科院分区：
文献类型：
--
作者：
A. Balantekin
给出了生成U(N)字符展开的组合公式。结果表明，所得到的字符展开公式大大简化了需要计算群流形上的积分的许多问题。给出了几个例子，包括在给定拓扑电荷的扇形中直接快速计算Itzykson-Zuber积分和QCD的有限体积有效配分函数。
A combinatorial formula to generate U(N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of QCD in the sector with a given topological charge.