研究和消除固定拓扑的影响
Studying and removing effects of fixed topology
摘要：
在小晶格间距或使用重叠费米子时，格点量子色动力学模拟往往会陷入单个拓扑扇区。物理可观测量，例如\强子的质量，然后通过$1/V$修正不同于它们的完整QCD对应物，其中$V$是时空体积。这些修正可以使用鞍点法逐阶计算。我们计算了与$1/V^2$和$1/V^3$成比例的所有修正，并测试了几种模型的结果方程：一个量子力学粒子在一个圆圈上，Schwinger模型和SU（2）杨米尔斯理论。
英文摘要：
At small lattice spacing, or when using overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables, e.g.\ hadron masses, then differ from their full QCD counterparts by $1/V$ corrections, where $V$ is the spacetime volume. These corrections can be calculated order by order using the saddle point method. We calculate all corrections proportional to $1/V^2$ and $1/V^3$ and test the resulting equations for several models: a quantum mechanical particle on a circle, the Schwinger model and SU(2) Yang-Mills theory.
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