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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.s2 (2006), pp. 205-210
Path Integrals and Euler Summation Formula
A. Balaž, A. Bogojević, A. Belić
Scientific Computing Laboratory, Institute of Physics, Pregrevica 118, 11080 Belgrade, Serbia and Montenegro
go backScientific Computing Laboratory, Institute of Physics, Pregrevica 118, 11080 Belgrade, Serbia and Montenegro
Abstract. Recently introduced analytical method for systematic improvement of the convergence of path integrals of a generic N-fold discretized theory [1, 2] is presented and an Euler summation formula for path integrals is derived. The approximation made by the using of the first p terms of this formula greatly speed–up convergence of path integrals to the continuum limit: from standard 1/N behavior, the convergence is improved to 1/Np.