晶格超对称性的研究进展与展望
Progress and prospects of lattice supersymmetry
摘要：
超对称性在量子场论的研究中起着重要的作用，在许多超越标准模型的潜在新物理学的提议中也起着重要的作用，而格点场论提供了一种适用于强相互作用系统的非微扰正则化。超对称场论的晶格研究目前取得了重大进展，但仍有许多挑战有待克服。在这个简短的概述中，我讨论了三个领域特别显着的进展：超对称杨-米尔斯（SYM）理论在小于四维，以及最小N=1 SYM和最大N=4 SYM在四维。我还强调超级量子色动力学和符号问题的突出挑战，将是重要的，以解决在未来的工作。
英文摘要：
Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provides a non-perturbative regularization suitable for strongly interacting systems. Lattice investigations of supersymmetric field theories are currently making significant progress, though many challenges remain to be overcome. In this brief overview I discuss particularly notable progress in three areas: supersymmetric Yang--Mills (SYM) theories in fewer than four dimensions, as well as both minimal N=1 SYM and maximal N=4 SYM in four dimensions. I also highlight super-QCD and sign problems as prominent challenges that will be important to address in future work.
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