arXiv 1002.33892010-02math-phhep-thmath.MPmath.QA

量子场论的形变与Epstein-Glaser方案中的Connes-Marcolli重整化群

Deformations of QFTs and Connes-Marcolli's renormalization group in Epstein-Glaser scheme

Ozgur Ceyhan

备注：: 8 pages. The main part of this note has been completely rewritten. A section on deformation of QFTs has been added. The renormalization group has been discussed as an explicit subgroup of the group of symmetries of space of QFTs. Title has been changed, introduction has been updated, necessary changes through the text have been made accordingly.

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摘要：

本文描述了QFT的形变，并给出了Connes-Marcolli设置下的同一个前代数群$U^*$在由Epstein-Glaser重整化方案构造的有限QFT上的作用.

英文摘要：

This short note aims to describe the deformations of QFTs and give an action of the same pro-algebraic group $U^*$ which appears in Connes-Marcolli's setting, on the finite QFTs constructed by Epstein-Glaser renormalization scheme.

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