Perturbative Renormalisation for Not-Quite-Connected Bialgebras
Research output: Contribution to journal › Journal article › Research › peer-review
We observe that the Connes-Kreimer Hopf-algebraic approach to perturbative renormalisation works not just for Hopf algebras but more generally for filtered bialgebras B with the property that B (0) is spanned by group-like elements (e.g. pointed bialgebras with the coradical filtration). Such bialgebras occur naturally both in quantum field theory, where they have some attractive features, and elsewhere in combinatorics, where they cover a comprehensive class of incidence bialgebras. In particular, the setting allows us to interpret Mobius inversion as an instance of renormalisation.
Original language | English |
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Journal | Letters in Mathematical Physics |
Volume | 105 |
Issue number | 10 |
Pages (from-to) | 1413-1425 |
Number of pages | 13 |
ISSN | 0377-9017 |
DOIs | |
Publication status | Published - Oct 2015 |
Externally published | Yes |
- perturbative renormalisation, bialgebras, DYSON-SCHWINGER EQUATIONS, HOPF-ALGEBRAS, FEYNMAN GRAPHS, TREES
Research areas
ID: 331498927