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报告摘要：A long standing problem in lattice QCD is that there is no natural definition of instanton operator on the lattice. I will show how this problem is --and has to be -- solved by higher category theory. In this language, the solution is a deep generalization of the Villain model familiar in condensed matter physics and in lattice QED. Using the categorical structure, one can also define the Chern-Simons term in lattice Yang-Mills, the skyrmion operator and the Wess-Zumino-Witten term in lattice SU(N) non-linear sigma model, and more.
In a larger scope, I will sketch a systematic program to renew our understanding of the relation between continuum QFT and lattice QFT. I will discuss why this understanding has the hope to lead to non-trivial progress in the field of constructive QFT, which aims at defining QFT in the continuum, such as 4D Yang-Mills.
个人简介：陈静远2008-2011年于密歇根大学安娜堡分校学习本科物理和数学专业，2011-2016年于芝加哥大学师从Dam Thanh Son获得物理博士学位，2016-2020年于斯坦福理论物理研究所作独立博士后研究，2020年加入清华大学高等研究院任研究员至今。