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Abstract：
Integration-by-parts (IBP) Feynman integral reduction is a major bottleneck for multi-loop perturbative QFT computation. We present an algebraic geometry approach, the module-intersection method, for getting small-size IBP systems. An automatic package, NeatIBP v1.0, to implement this idea is now presented to the public. It can shorten the IBP system size by a factor of 100 to 1000 in various examples. We are glad to demonstrate the possible application of this method.
Biography:
Yang Zhang is a professor at the Center for Interdisciplinary Theory and the Peng Huanwu Center for Fundamental Theory of High Energy at the University of Science and Technology of China. Zhang received his Ph.D. degree from Cornell University in 2011. From 2011 to 2014 he was a postdoctoral fellow at the Niels Bohr Institute in Denmark and in 2015 he was a Swiss NSF Ambizione Fellow at ETH Zurich. From 2017 to 2019, he worked at the University of Mainz and the Max Planck Institute for Physics in Munich, Germany, and joined USTC in 2019. Zhang's research interests are applications of modern mathematical methods to study cutting-edge problems in theoretical physics, such as scattering amplitude and perturbation QCD, quantum integrable models, etc.
Host: Prof. Kai Yan
Alternative online link: https://meeting.tencent.com/dm/WxZA1TbPliXg
(id: 890768849 passcode: 123456）