论文标题
坐标表示中的显式截止正规化
Explicit Cutoff Regularization in Coordinate Representation
论文作者
论文摘要
在本文中，我们研究了坐标表示中的一种特殊类型的截止正则化。我们展示了这种方法如何将这种概念和特性归结为明确的剪切，光谱表示，均质化和协方差。除此之外，我们还提出了新的公式来处理正规化，并为一些正则化绿色功能提供了红外渐近学的其他计算，并出现在纯的四维杨利米尔理论以及标准的二维Sigma-Model中。
In this paper, we study a special type of cutoff regularization in the coordinate representation. We show how this approach unites such concepts and properties as an explicit cut, a spectral representation, a homogenization, and a covariance. Besides that, we present new formulae to work with the regularization and give additional calculations of the infrared asymptotics for some regularized Green's functions, appearing in the pure four-dimensional Yang-Mills theory and in the standard two-dimensional Sigma-model.
