| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
25 April 2024 |
|
| | | |
|
Article overview
| |
|
Hopf algebra of graphs and the RG equations | D.V.Malyshev
; | Date: |
30 Aug 2004 | Journal: | Theor.Math.Phys. 143 (2005) 505-514; Teor.Mat.Fiz. 143 (2005) 22-32 | Subject: | hep-th | Abstract: | We study the renormalization group equations following from the Hopf algebra of graphs. Vertex functions are treated as vectors in dual to the Hopf algebra space. The RG equations on such vertex functions are equivalent to RG equations on individual Feynman integrals. The solution to the RG equations may be represented as an exponent of the beta-function. We explicitly show that the exponent of the one-loop beta function enables one to find the coefficients in front of the leading logarithms for individual Feynman integrals. The same results are obtained in parquet approximation. | Source: | arXiv, hep-th/0408230 | Services: | Forum | Review | PDF | Favorites |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |