Luigi Del Debbio (University of Edinburgh, UK)

Algorithmic progresses over the last ten years have made it possible
to simulate quantum field theories on the lattice taking fully into
account the contributions stemming from the fermion determinant. As a
consequence lattice gauge theories have become a prime tool to study
not only QCD at the physical point, but also strongly-interacting
theories beyond QCD. The latter theories could play an inportant role
for models of dynamical electroweak symmetry breaking (DEWSB).

In this talk, I will briefly summarize the work on new algorithms, and
the impact on the performance of Monte Carlo simulations. I will then
explain what are the relevant questions for DEWSB, and discuss how
these questions could be answered by numerical studies.