# Journal article

## Feynman amplitudes on moduli spaces of graphs

Abstract:

This article introduces moduli spaces of coloured graphs on which Feynman amplitudes can be viewed as “discrete” volume densities. The basic idea behind this construction is that these moduli spaces decompose into disjoint unions of open cells on which parametric Feynman integrals are defined in a naturalway. Renormalisation of an amplitude translates then into the task of assigning to every cell a finite volume such that boundary relations between neighboring cells are respected. It is shown...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, 289.4KB)
Publisher copy:
10.4171/aihpd/84

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-9108-3045
Publisher:
European Mathematical Society Publishing House Publisher's website
Journal:
Annales de l’Institut Henri Poincaré D Journal website
Volume:
7
Issue:
2
Pages:
203-232
Publication date:
2020-06-05
Acceptance date:
2018-07-30
DOI:
ISSN:
2308-5827
Language:
English
Keywords:
Pubs id:
1141026
Local pid:
pubs:1141026
Deposit date:
2020-11-20