50 citations · 179 across the 40 of their papers we have counts for
14 papers · 1 filter
Locality Galois groups of meromorphic germs in several variables
Li Guo, Sylvie Paycha, Bin Zhang
Meromorphic germs in several variables with linear poles naturally arise in mathematics in various disguises. We investigate their rich structures under the prism of locality, incl…
Locality and renormalisation: universal properties and integrals on trees
Pierre Clavier, Li Guo, Sylvie Paycha +1
The purpose of this paper is to build an algebraic framework suited to regularise branched structures emanating from rooted forests and which encodes the locality principle. This i…
Renormalisation via locality morphisms
Pierre Clavier, Li Guo, Sylvie Paycha +1
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…
Renormalisation and locality: branched zeta values
Pierre Clavier, Li Guo, Sylvie Paycha +1
Multivariate renormalisation techniques are implemented in order to build, study and then renormalise at the poles, branched zeta functions associated with trees. For this purpose,…
An algebraic formulation of the locality principle in renormalisation
Pierre Clavier, Li Guo, Sylvie Paycha +1
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 local…
Renormalised conical zeta values
Li Guo, Sylvie Paycha, Bin Zhang
Conical zeta values associated with rational convex polyhedral cones generalise multiple zeta values. We renormalise conical zeta values at poles by means of a generalisation of Co…