The geometry of scattering amplitudes
Scattering amplitudes sit at the intersection of experimental physics, theoretical physics, and pure mathematics. Besides being directly useful at particle colliders or gravitational wave detectors, their surprising simplicity revealed symmetries and dualities hidden by traditional Lagrangian perspectives, and hints towards a completely new approach to quantum field theory.
This course will motivate why they are interesting objects to study, introduce the relevant tools, and describe several recent important results. Various topics will be discussed, such as
- the modern on-shell S-matrix program
- why gravity = (Yang-Mills)^2
- the positive geometry of scattering amplitudes and the Amplituhedron
- the bootstrap approach, from uniqueness theorems to the EFThedron and moment problems
Some knowledge of QFT will be useful but the course will attempt to be self contained.
List of notes, useful Mathematica files, and references can be found at https://sites.google.com/view/geomscattering/home
This course will motivate why they are interesting objects to study, introduce the relevant tools, and describe several recent important results. Various topics will be discussed, such as
- the modern on-shell S-matrix program
- why gravity = (Yang-Mills)^2
- the positive geometry of scattering amplitudes and the Amplituhedron
- the bootstrap approach, from uniqueness theorems to the EFThedron and moment problems
Some knowledge of QFT will be useful but the course will attempt to be self contained.
List of notes, useful Mathematica files, and references can be found at https://sites.google.com/view/geomscattering/home
Lecturer
Date
9th October ~ 26th December, 2023
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Monday,Tuesday | 13:30 - 15:05 | A3-2-303 | ZOOM 07 | 559 700 6085 | BIMSA |
Prerequisite
QFT (optional)
Audience
Undergraduate
, Graduate
, Postdoc
Video Public
Yes
Notes Public
Yes
Language
English
Lecturer Intro
Laurentiu Rodina obtained his PhD from Princeton University, under the supervision of Nima Arkani-Hamed. He was a postdoctoral fellow at CEA Saclay-Paris and National Taiwan University, and a Marie Curie Fellow at Queen Mary University of London. He joined BIMSA as assistant professor in 2023 and since 2025 is associate professor. His research is focused on bootstrap approaches in QFT and CFT: describing the space of theories consistent with fundamental physical principles.