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SUMMARY:IBP & Differential Equations in de Sitter Spacetime - From Tree to
  Loop
DTSTART;VALUE=DATE-TIME:20260622T060000Z
DTEND;VALUE=DATE-TIME:20260622T070000Z
DTSTAMP;VALUE=DATE-TIME:20260620T153900Z
UID:indico-event-29955@indico.ihep.ac.cn
DESCRIPTION:Speakers: 家麒 陈 (中国石油大学（北京）)\nQuantum
  field theory in de Sitter spacetime has important phenomenological applic
 ations in inflationary cosmology. In this talk\, I will present how Integr
 ation-By-Parts (IBP) reduction and differential equation methods can be ex
 tended to de Sitter spacetime (with Hankel function in the integrand)\, an
 d highlight some practical and elegant mathematical properties of de Sitte
 r correlation functions. We will see that for time integrals\, a few simpl
 e general formulas are sufficient to iteratively reduce all integrals to m
 aster integrals\, yielding dlog differential equations along with their an
 alytic boundary conditions. For loop-level calculations involving both tim
 e and loop momentum integrals\, we find that the IBP system splits into in
 dependent subsystems based on the parity of the indices. Furthermore\, bas
 ed on fibration intersection theory\, we conjecture and verify how to cons
 truct dlog integrands to obtain dlog differential equations in the de Sitt
 er case.\n\n报告人简介：陈家麒，本科毕业于浙江大学，
 博士就读于北京大学理论物理专业，后于高能所、北京
 计算科学研究中心从事博士后工作，2025年入职中国石油
 大学（北京）讲师。主要研究费曼积分的数学结构与计
 算方法，过去研究较多集中于平直时空费曼积分的正则
 微分方程以及intersection theory在其中的应用，近期研究兴
 趣集中于发展弯曲时空微扰场论的计算方法。\nhttps://indi
 co.ihep.ac.cn/event/29955/
LOCATION:B105 (CHEP)
URL:https://indico.ihep.ac.cn/event/29955/
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