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Towards Systematic and Efficient Evaluation of Perturbation Quantum Field Theory in de Sitter Spacetime

2024-03-05    点击:

报告题目:Towards Systematic and Efficient Evaluation of Perturbation Quantum Field Theory in de Sitter Spacetime

报 告 人:陈家麒,Beijing Computational Science Research Center

报告时间:2024-03-07 14:00

报告地点理科楼C109

报告摘要De Sitter spacetime is one of the simplest curved spacetimes. Therefore, computing quantum field theory on de Sitter spacetime is the first step towards computing quantum field theory on curved spacetimes. In recent years, it has gained more attention due to its applications in inflation cosmology and dS/CFT. However, computing perturbative quantum field theory on dS spacetime systematically and efficiently remains an ongoing topic. Many of the currently developed computational methods have some reference to the existing methods on flat spacetime. In our recent work 2401.00129, we extended the powerful set of methods in flat spacetime, Integration-By-Parts (IBP) and IBP-based differential equations methods, to the case of de Sitter spacetime. We discovered a previously unnoticed simplicity of structure beneath its seemingly complex surface. IBP of all vertex integral families are factorised. The choice of different propagator types of in-in formalism does not affect the IBP and the differential equations satisfied by the dS correlation. Additionally, we provide universal formulas for the iterative reduction and the differential equations satisfied by any family of vertex integrals. The reduction of all tree-level dS correlation functions and their satisfied differential equations are dominated by these general formulas. They also play a crucial role in the loop-level.

报告人简介:

2011-2015 浙江大学(ZJU) 物理系 本科

2015-2021 北京大学(PKU) 理论物理 博士

2021-2022 中国科学院高能物理研究所(IHEP) 博士后

2022.4至今 北京计算科学研究中心(CSRC) 博士后