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Periods of Feynman Diagrams

Citation

Nasrollahpoursamami, Emad (2017) Periods of Feynman Diagrams. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9GX48MR. http://resolver.caltech.edu/CaltechTHESIS:05052017-144643636

Abstract

We study differential equations for Feynman amplitudes and show that the corresponding D-module is isomorphic to a GKZ D-modules. We show that the sheaf of solutions to the D-module is isomorphic to a certain relative homology and that the amplitudes are periods of a relative motive. Using these ideas, we develop a method of regularization which specializes to dimensional regularization and analytic regularization.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Feynman Diagrams; D-modules; A-Hypergeometric; Regularization
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Marcolli, Matilde
Thesis Committee:
  • Marcolli, Matilde (chair)
  • Rains, Eric M.
  • Zhu, Xinwen
  • Graber, Thomas B.
Defense Date:28 April 2017
Record Number:CaltechTHESIS:05052017-144643636
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:05052017-144643636
DOI:10.7907/Z9GX48MR
ORCID:
AuthorORCID
Nasrollahpoursamami, Emad0000-0002-9658-1529
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10156
Collection:CaltechTHESIS
Deposited By: Emad Nasrollahpoursamami
Deposited On:23 May 2017 23:14
Last Modified:30 May 2017 22:43

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