2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/186933This chapter [of a supplement to Prog. Theo. Phys.] reviews numerical simulations of quantum field theories based on stochastic quantization and the Langevin equation. The topics discussed include renormalization of finite step-size algorithms, Fourier acceleration, and the relation of the Langevin equation to hybrid stochastic algorithms and hybrid Monte Carlo.20 ppHigh Energy Physics - Latticetext