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Some open problems on Feynman periods

Abstract:
Feynman integrals of quantum field theories that contain non-scalar particles go beyond the well-studied leading period associated to primitive Feynman graphs. It is therefore necessary to study the space of periods spanned by all convergent Feynman integrals for a given graph. Even when the leading period is known, this total space of periods is not understood and carries non-trivial structures. After reviewing the leading period, we consider all convergent integrals of a graph and related open questions.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-37031-2_2

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0002-9897-5812
Publisher:
Springer
Host title:
Periods in Quantum Field Theory and Arithmetic
Series:
Springer Proceedings in Mathematics & Statistics
Series number:
314
Volume:
314
Pages:
29-44
Publication date:
2020-03-14
Acceptance date:
2017-06-06
Event title:
Workshop Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory (ICMAT-MZV 2014)
Event location:
Madrid, Spain
Event start date:
2014-12-01
Event end date:
2014-12-05
DOI:
EISSN:
2194-1017
ISSN:
2194-1009
EISBN:
9783030370312
ISBN:
9783030370305
Language:
English
Keywords:
Pubs id:
1132040
Local pid:
pubs:1132040
Deposit date:
2020-09-14

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