当前位置: 首页 > 科学研究 > 学术交流 >
学术交流

An algebraic formulation of the locality principle in renormalization

2018-06-01 19:06    
主题:
An algebraic formulation of the locality principle in renormalization
时间:
2018-06-07 16:00-17:00
地点:
南开大学省身楼216教室
主讲人:
郭锂

主讲人简介

江西师范大学数学与信息科学学院教授

演讲内容介绍

    An interpretation of the locality principle in renormalization is that a locality property is preserved in the process of renormalization. We establish such a principle in the framework of the algebraic approach of Connes and Kreimer to quantum field renormalization, by working with their algebraic Birkhoff factorization. More preciselly we show that if a regularization map is a locality map, then so is the corresponding renormalization map from the algebraic Birkhoff factorization. For this purpose, we introduce locality for various algebraic structures including those of a Hopf algebra, a Rota-Baxter algebra and a regularization map between the two algebras. As an application in the context of the Euter-Maclaurin formula on lattice cones, we renormalize the exponential generating function which sums over the lattice points in a lattice cone.

联系我们

地址:天津市海河教育园区雅观路135号32号教学楼,300350
邮箱:maths@tju.edu.cn
电话:+86 (0)22 27402850
传真:+86 (0)22 27402850

Copyright@2017 天津大学数学学院 版权所有

扫码关注学院最新动态