Alphabets for Quantum Field Theory

par Matt von Hippel (Niels Bohr Institute)

jeudi 16 déc. 2021, 11:00 → 12:00 Europe/Paris

Auditorium (LAPTh)

As the LHC accumulates data, the need grows for more efficient
methods to compute scattering amplitudes. One such method manages to
swap the difficult problem of integrating thousands of Feynman diagrams
for a much simpler one: solving a system of linear equations. This can
be done when there is a known "alphabet" of appropriate singularities
for the amplitudes. I will describe a case where this has been pushed
quite far: six-particle amplitudes in maximally supersymmetric
Yang-Mills, where I have computed amplitudes up to seven loops. I will
then change gears and discuss a class of functions where the form of
this alphabet is not yet known. These functions have surprising links to
Calabi-Yau manifolds, and occur in general theories as early as two loops.