From Mobius inversion to renormalisation
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Communications in Number Theory and Physics |
Volume | 14 |
Issue number | 1 |
Pages (from-to) | 171-198 |
Number of pages | 28 |
ISSN | 1931-4523 |
Publication status | Published - 2020 |
Externally published | Yes |
- Mobius inversion, perturbative renormalisation, bialgebras, coalgebras, ROTA-BAXTER ALGEBRAS, QUANTUM-FIELD THEORY, HOPF-ALGEBRAS
Research areas
ID: 331497812