Phys. Rev. Lett. 94, 180403 (2005) [4 pages]Systematically Accelerated Convergence of Path IntegralsReceived 1 February 2005; published 12 May 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.180403
DOI:
10.1103/PhysRevLett.94.180403
PACS:
05.30.-d, 03.65.Db, 05.10.Ln
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