Renormalisation via locality morphisms
Mathematical Physics
2020-02-11 v1 Complex Variables
math.MP
Number Theory
Rings and Algebras
Abstract
This is a survey on renormalisation in the locality setup highlighting the role that locality morphisms can play for renormalisation purposes. Having set up a general framework to build regularisation maps, we illustrate renormalisation by locality algebra homomorphisms on three examples, the renormalisation at poles of conical zeta functions, branched zeta functions and iterated integrals stemming from Kreimer's toy model.
Cite
@article{arxiv.1810.03210,
title = {Renormalisation via locality morphisms},
author = {Pierre Clavier and Li Guo and Sylvie Paycha and Bin Zhang},
journal= {arXiv preprint arXiv:1810.03210},
year = {2020}
}