Feynman amplitudes on moduli spaces of graphs

Journal article

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...
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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:: 10.4171/aihpd/84
ISSN:: 2308-5827

Language:: English
Keywords:: Feynman integral

renormalisation

amplitude

Borel–Serre compactification

wonderful compactification

FFR

moduli space of graphs
Pubs id:: 1141026
Local pid:: pubs:1141026
Deposit date:: 2020-11-20

Copyright holder:: EMS Publishing House
Notes:: This is the accepted manuscript version of the article. The final version is available online from the EMS Publishing House at: https://doi.org/10.4171/AIHPD/84

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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