Abstract
There has been considerable progress in simulating gauge theories coupled to fermions in the last decade. As a result, Monte Carlo simulations are now capable of taking the fermion determinant properly into account when generating gauge configurations even for light fermion masses. We briefly summarize the physical intuitions behind this progress, and discuss the impact on the range of problems that can currently be adressed using a computational approach to evaluate the path integral of gauge theories defined on discretized Euclidean spacetime lattices. We focus in particular on recent result for QCD at the physical point, and on new nonperturbative models for physics beyond the Standard Model.
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