Generalization of Euler's summation formula to path integrals ⋆

@article{Bogojevic2005GeneralizationOE,
  title={Generalization of Euler's summation formula to path integrals ⋆},
  author={Aleksandar Bogojevic and Antun Balaz and Aleksandar Belic},
  journal={Physics Letters A},
  year={2005},
  volume={344},
  pages={84-90}
}
Abstract A recently developed analytical method for systematic improvement of the convergence of path integrals is used to derive a generalization of Euler's summation formula for path integrals. The first p terms in this formula improve convergence of path integrals to the continuum limit from 1 / N to 1 / N p , where N is the coarseness of the discretization. Monte Carlo simulations performed on several different models show that the analytically derived speedup holds. 
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  • Belí c, Phys. Rev. B 72
  • 2005
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