MS Seminar (Mathematics - String Theory)

Speaker: Andrew J. McLeod (Niels Bohr Institute, Copenhagen)
Title: Galois Theory in Gauge Theory, through Seven Loops
Date: 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.