Application of Deformed Lie Algebras to Non-Perturbative Quantum Field Theory

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2017-01-02 DOI:10.18311/JIMS/2017/5839

Ali Shojaei-Fard

引用次数: 2

Abstract

The manuscript implements Connes-Kreimer Hopf algebraic renormalization of Feynman diagrams and Dubois-Violette type noncommutative differential geometry to discover a new class of differential calculi with respect to infinite formal expansions of Feynman diagrams which are generated by Dyson-Schwinger equations.

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变形李代数在非微扰量子场论中的应用

该手稿实现了Feynman图的Connes-Kreimer-Hopf代数重整化和Dubois-Violette型非对易微分几何，发现了一类关于Dyson-Schwinger方程生成的Feynmann图的无限形式展开的新的微分演算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.