| Speaker: | Andrew J. McLeod (Niels Bohr Institute, Copenhagen) |
|---|---|
| Title: | Galois Theory in Gauge Theory, through Seven Loops |
| Date (JST): | Tue, Jan 28, 2020, 13:15 - 14:30 |
| Place: | Seminar Room A |
| Related File: | 2429.pdf |
| Abstract: | I describe a method for leveraging the analytic and kinematic properties of amplitudes in planar maximally supersymmetric Yang-Mills theory to bootstrap the six-particle amplitude through seven loops. This technique makes manifest an unexpected property of the amplitude under the cosmic Galois group, which becomes increasingly discernible at higher loop orders. Such a symmetry has also been seen to hold in phi^4 integrals, tree-level string theory, and in the anomalous magnetic moment of the electron, and may prove to be a property of quantum field theory more generally. |
