Yang-Mills梯度流中静态夸克--反夸克周围的应力张量分布
Distribution of Stress Tensor around Static Quark--Anti-Quark from Yang-Mills Gradient Flow
摘要：
本文研究了SU（3）格点规范理论中夸克-反夸克（$Q\bar{Q}$）对周围应力张量的空间分布。Yang-Mills梯度流对于使应力张量定义明确并可从晶格上的数值模拟导出起着至关重要的作用。所得到的应力张量与分解成局部主轴示出，第一次，详细的结构的通量管沿纵向和横向的规范不变的方式。从局部应力张量的积分直接导出了$Q\bar{Q}$势在长距离处的线性约束行为。
英文摘要：
The spatial distribution of the stress tensor around the quark--anti-quark ($Q\bar{Q}$) pair in SU(3) lattice gauge theory is studied. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable from the numerical simulations on the lattice. The resultant stress tensor with a decomposition into local principal axes shows, for the first time, the detailed structure of the flux tube along the longitudinal and transverse directions in a gauge invariant manner. The linear confining behavior of the $Q\bar{Q}$ potential at long distances is derived directly from the integral of the local stress tensor.
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