Citation
Nasrollahpoursamami, Emad (2017) Periods of Feynman Diagrams. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9GX48MR. https://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.)) | ||||
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| 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) | ||||
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| Thesis Committee: |
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| Defense Date: | 28 April 2017 | ||||
| Record Number: | CaltechTHESIS:05052017-144643636 | ||||
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:05052017-144643636 | ||||
| DOI: | 10.7907/Z9GX48MR | ||||
| ORCID: |
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| 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: | 28 Oct 2021 19:00 |
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