使用拓扑固定动作比较拓扑电荷定义
Comparing topological charge definitions using topology fixing actions
摘要:
我们研究了双曲作用和行列式比作用,旨在固定的拓扑电荷的晶格。我们展示了拓扑结构在多大程度上是固定的,这取决于这些动作的参数,保持固定的物理情况。同时,拓扑荷的不同定义-场论定义和指数定义-之间的一致性与度拓扑是固定的直接相关。而且,事实证明,这两个定义非常一致。我们还研究了由于拓扑固定引起的静势和相关量的有限体积效应。
英文摘要:
We investigate both the hyperbolic action and the determinant ratio action designed to fix the topological charge on the lattice. We show to what extent topology is fixed depending on the parameters of these actions, keeping the physical situation fixed. At the same time the agreement between different definitions of topological charge - the field theoretic and the index definition - is directly correlated to the degree topology is fixed. Moreover, it turns out that the two definitions agree very well. We also study finite volume effects arising in the static potential and related quantities due to topology fixing.
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