Systematically Accelerated Convergence of Path Integrals

We present a new analytical method that systematically improves the convergence of path integrals of a generic N-fold discretized theory. Using it we calculate the effective actions S(p) for p≤9, which lead to the same continuum amplitudes as the starting action, but that converge to that continuum limit as 1/Np. We checked this derived speedup in convergence by performing Monte Carlo simulations on several different models