正则化Hadamard展开
The Regularized Hadamard Expansion
摘要：
提出了四维整体双曲时空中包含紫外正则化的两点分布的局域展开式。正则化描述了一个无限数量的功能，可以通过求解输运方程沿零测地线迭代计算。我们证明了柯西演化保持了正则化的Hadamard结构。由此产生的正则化Hadamard展开给出了正则化效应的全局动力学的详细和明确的信息。
英文摘要：
A local expansion is proposed for two-point distributions involving an ultraviolet regularization in a four-dimensional globally hyperbolic space-time. The regularization is described by an infinite number of functions which can be computed iteratively by solving transport equations along null geodesics. We show that the Cauchy evolution preserves the regularized Hadamard structure. The resulting regularized Hadamard expansion gives detailed and explicit information on the global dynamics of the regularization effects.
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