Bootstrapping scattering amplitudes in N=4 super-Yang-mills theory

Placeholder Show Content

Abstract/Contents

Abstract
Scattering amplitudes are a bridge between theory and measurable quantities in high energy particle experiments, such as cross sections of scattering processes. Traditionally, scattering amplitudes are calculated using Feynman diagrams. However, their computational complexity grows dramatically as one tries to calculate higher-order corrections. Recently, a new method, the amplitude bootstrap, has arisen, that aims to bypass Feynman diagrams and compute scattering amplitudes directly by using knowledge of the mathematical structures describing amplitudes. Parts of this thesis constitute a continuation in this development of bootstrap techniques, focusing on their application in a toy model, N=4 Super-Yang-Mills Theory. The rest of the thesis deals with hidden structures of amplitudes in the same theory. In particular, it includes a newly conjectured symmetry and duality of amplitudes.

Description

Type of resource text
Form electronic resource; remote; computer; online resource
Extent 1 online resource.
Place California
Place [Stanford, California]
Publisher [Stanford University]
Copyright date 2023; ©2023
Publication date 2023; 2023
Issuance monographic
Language English

Creators/Contributors

Author Liu, Yu Ting
Degree supervisor Dixon, Lance Jenkins
Thesis advisor Dixon, Lance Jenkins
Thesis advisor Kachru, Shamit, 1970-
Thesis advisor Toro, Natalia
Degree committee member Kachru, Shamit, 1970-
Degree committee member Toro, Natalia
Associated with Stanford University, School of Humanities and Sciences
Associated with Stanford University, Department of Physics

Subjects

Genre Theses
Genre Text

Bibliographic information

Statement of responsibility Yu Ting Liu.
Note Submitted to the Department of Physics.
Thesis Thesis Ph.D. Stanford University 2023.
Location https://purl.stanford.edu/jm364tr5514

Access conditions

Copyright
© 2023 by Yu Ting Liu

Also listed in

Loading usage metrics...