Systematically Accelerated Convergence of Path Integrals

Aleksandar Bogojevic; Antun Balaz; Aleksandar Belic

doi:10.1103/physrevlett.94.180403

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Systematically Accelerated Convergence of Path Integrals

Aleksandar Bogojevic·Antun Balaz·Aleksandar Belic

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Abstract

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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Aleksandar Bogojevic, Antun Balaz, Aleksandar Belic. 2005-08-25. Systematically Accelerated Convergence of Path Integrals. https://doi.org/10.1103/physrevlett.94.180403

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