European Journal of Mathematics https://doi.org/10.1007/s40879-018-0255-8 RESEARCH ARTICLE An algebraic formulation of the locality principle in renormalisation 1 2,3 4,5 Pierre Clavier · Li Guo · Sylvie Paycha · Bin Zhang Received: 25 November 2017 / Revised: 20 April 2018 / Accepted: 26 April 2018 © Springer International Publishing AG, part of Springer Nature 2018 Abstract We study the mathematical structure underlying the concept of locality which lies at the heart of classical and quantum ﬁeld theory, and develop a machinery used to preserve locality during the renormalisation procedure. Viewing renormalisa- tion in the framework of Connes and Kreimer as the algebraic Birkhoff factorisation of characters on a Hopf algebra with values in a Rota–Baxter algebra, we build Sylvie Paycha, on leave from Université Clermont-Auvergne. The authors acknowledge supports from the Natural Science Foundation of China (Grant Nos. 11521061 and 11771190) and the German Research Foundation (DFG Grant PA 1686/6-1). They are grateful to the hospitalities of Sichuan University and University of Potsdam where parts of the work were completed. B Sylvie Paycha firstname.lastname@example.org Pierre Clavier email@example.com Li Guo firstname.lastname@example.org Bin Zhang email@example.com Institute of Mathematics, University of Potsdam, 14476 Potsdam, Germany Department of Mathematics, Jiangxi Normal University, Nanchang 330022,
European Journal of Mathematics – Springer Journals
Published: Jun 5, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera