From Mobius inversion to renormalisation
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
This paper traces a straight line from classical Mobius inversion to Hopf-algebraic perturbative renormalisation. This line, which is logical but not entirely historical, consists of just a few main abstraction steps, and some intermediate steps dwelled upon for mathematical pleasure. The paper is largely expository, but contains many new perspectives on well-known results. For example, the equivalence between the Bogoliubov recursion and the Atkinson formula is exhibited as a direct generalisation of the equivalence between the Weisner-Rota recursion and the Hall-Leroux formula for Mobius inversion.
Originalsprog | Engelsk |
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Tidsskrift | Communications in Number Theory and Physics |
Vol/bind | 14 |
Udgave nummer | 1 |
Sider (fra-til) | 171-198 |
Antal sider | 28 |
ISSN | 1931-4523 |
Status | Udgivet - 2020 |
Eksternt udgivet | Ja |
ID: 331497812