Amplituhedra, and Beyond
This review is a primer on recently established geometric methods for observables in quantum field theories. The main emphasis is on amplituhedra, i.e. geometries encoding scattering amplitudes for a variety of theories. These pertain to a broader family of geometries called positive geometries, whose basics we review. We also describe other members of this family that are associated with different physical quantities and briefly consider the most recent developments related to positive geometries. Finally, we discuss the main open problems in the field. This is a Topical Review invited by Journal of Physics A: Mathematical and Theoretical.
Item Type | Article |
---|---|
Uncontrolled Keywords | Positive geometries for amplitudes; Scattering amplitudes in maximally supersymmetric Yang-Mills theory; Scattering amplitudes in scalar cubic theory |
Subjects |
Physics and Astronomy(all) > Statistical and Nonlinear Physics Mathematics(all) > Statistics and Probability Mathematics(all) > Modelling and Simulation Mathematics(all) > Mathematical Physics Physics and Astronomy(all) |
Date Deposited | 26 Jul 2024 12:11 |
Last Modified | 26 Jul 2024 12:11 |
Explore Further
Read more research from the creator(s):
Find work associated with the faculties and division(s):
- School of Physics, Engineering & Computer Science
- Mathematics and Theoretical Physics
- Department of Physics, Astronomy and Mathematics
Find other related resources: