Green函数与拓扑变换
Green's Functions and Topological Configurations
摘要：
关于杨-米尔斯理论的非微扰结构，目前有两种重要的观点。一个是通过拓扑结构，一个是通过格林函数，特别是它们的（渐近）红外行为。基于这两种观点，各种方案的约束，手征对称性破缺和其他非微扰效应已被开发。然而，如果这两种观点都是正确的，那么它们只能是同一基础物理学的不同方面，并且必须有可能将它们联系起来。在讨论了这种联系的理解现状后，格点规范理论中的涂抹位形和冷却位形被用来确定低动量区格林函数的性质。据发现，定性性质基本上没有变化相比，未涂抹配置的结果。这也是当配置涂抹足够强烈，以达到几乎（反）自对偶域的情况下。
英文摘要：
There are, among others, currently two important views on the non-perturbative structure of Yang-Mills theory. One is through topological configurations and one is through Green's functions, in particular their (asymptotic) infrared behavior. Based on both views, various scenarios for confinement, chiral symmetry breaking and other non-perturbative effects have been developed. However, if both views are correct then they can only be different aspects of the same underlying physics, and it must be possible to relate them. After discussing the current status of the understanding of this connection, smeared and cooled configurations in lattice gauge theory are used to determine the properties of Green's functions in the low-momentum regime. It is found that the qualitative properties are essentially unchanged compared to results on unsmeared configurations. This is also the case when the configurations are smeared sufficiently strongly to reach the almost (anti-)self-dual domain.
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