Systematically Accelerated Convergence of Path Integrals

Details Systematically Accelerated Convergence of Path Integrals Systematically Accelerated Convergence of Path Integrals

2005-08-23

arxiv.org/abs/cond-mat/0508545v2

Phys.Rev.Lett.94:180403,2005

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.94.180403

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 $p\le 9$ which lead to the same continuum amplitudes as the starting action, but that converge to that continuum limit as $1/N^p$. We checked this derived speedup in convergence by performing Monte Carlo simulations on several different models.

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