Loop averages and partition functions in U(N) gauge theory on two-dimensional manifolds
Loop averages and partition functions in U(N) gauge theory on two-dimensional manifolds
复制标题
二维流形上 U(N) 规范理论中的循环平均和配分函数
DOI：
10.1142/s0217732390000780
复制
发表时间：
1990
影响因子：
1.4
通讯作者：
B. Rusakov
中科院分区：
文献类型：
--
作者：
B. Rusakov
U(N) 规范理论中的循环平均值和配分函数是针对任意二维流形（包括不可定向流形）上没有交点的循环计算的。物理量直接通过流形的几何特征（由环和亏格包围的区域）和规范组参数（卡西米尔特征值和不可约表示的维数）来表达。结果表明，从物理量的角度来看，流形的不可定向性等价于流形的非紧性。
Loop averages and partition functions in the U(N) gauge theory are calculated for loops without intersections on arbitrary two-dimensional manifolds including nonorientable ones. The physical quantities are directly expressed through geometrical characteristics of a manifold (areas enclosed by loops and the genus) and gauge group parameters (Casimir eigenvalues and dimensions of the irreducible representations). It is shown that, from the physical quantities’ point of view, non-orientability of the manifold is equivalent to its non-compactness.