手征格点规范理论与费米子解耦：一个（不）可能的任务？
Chiral Lattice Gauge Theories Via Mirror-Fermion Decoupling: A Mission (im)Possible?
摘要：
本文综述了从类矢量理论中解耦镜像费米子来构造手征格点规范理论的研究现状和存在的问题。在前半部分，我们解释了为什么研究非微扰手征规范动力学可能是感兴趣的，列举的问题，手征规范理论的晶格制定必须克服，并简要回顾我们目前的知识。然后，我们讨论了镜像费米子解耦的动机和思想，并说明了一个简单的可解玩具模型的解耦动力学所需的功能。精确的手征对称性和匹配的T Hooft异常的晶格上的作用也被解释。第二，更多的技术，一半的文章是专门讨论的已知和未知的功能制定与Ginsparg-Wilson费米子镜像解耦动力学。最后，我们指出了未来研究的可能方向。
英文摘要：
This is a review of the status and outstanding issues in attempts to construct chiral lattice gauge theories by decoupling the mirror fermions from a vectorlike theory. In the first half, we explain why studying nonperturbative chiral gauge dynamics may be of interest, enumerate the problems that a lattice formulation of chiral gauge theories must overcome, and briefly review our current knowledge. We then discuss the motivation and idea of mirror-fermion decoupling and illustrate the desired features of the decoupling dynamics by a simple solvable toy model. The role of exact chiral symmetries and matching of 't Hooft anomalies on the lattice is also explained. The second, more technical, half of the article is devoted to a discussion of the known and unknown features of mirror-decoupling dynamics formulated with Ginsparg-Wilson fermions. We end by pointing out possible directions for future studies.
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