Talk by Michael Borinsky:
Title: Tropical quantum field theory and its applications
Abstract: Feynman integrals are complicated objects and it is generally hard to
evaluate them analytically. I will present recent work that showed that
these integrals are, in contrast to their analytic evaluation,
surprisingly well-suited for numerical integration. While traditional
methods are struggling with integrals at the 2-3 loop level, integrals
with up to 15 loops can be easily evaluated using the novel approach. A
key step towards this highly efficient numerical Feynman integration was
a certain simplification of the underlying QFT. This simplified QFT,
which I call the tropical(ized) QFT, is obtained in a tropical
deformation limit of the original QFT.