Exact Results in Discretized Gauge Theories
Exact Results in Discretized Gauge Theories
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离散规范理论中的精确结果
DOI：
10.1093/ptep/ptv021
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Kazutoshi Ohta
中科院分区：
文献类型：
--
作者：
So Matsuura;Tatsuhiro Misumi;Kazutoshi Ohta
将局部化技术应用于离散黎曼曲面（广义Sugino模型）上的拓扑扭曲超对称规范理论。我们精确地求出了特定闭算子的配分函数和真空期望值。我们证明了配分函数和算子的vev只依赖于欧拉特征和离散黎曼曲面的面积，而与离散的细节无关。这种定位技术不仅可以简化超对称晶格模型的数值分析，而且可以将定义良好的等变定位与经验超对称定位联系起来。
We apply the localization technique to topologically twistedsupersymmetric gauge theory on a discretized Riemann surface (the generalized Sugino model). We exactly evaluate the partition function and the vacuum expectation value (vev) of a specific-closed operator. We show that both the partition function and the vev of the operator depend only on the Euler characteristic and the area of the discretized Riemann surface and are independent of the details of the discretization. This localization technique may not only simplify the numerical analysis of supersymmetric lattice models but also connect the well defined equivariant localization to the empirical supersymmetric localization.