Perfect Stochastic Summation of High Order Feynman Graph Expansions

Authors:
  J.N. Corcoran, U. Schneider, and H.-B. Schüttler

Date:
  April 2003

Status:
  Submitted for publication.

Abstract:

We describe a new application of an existing perfect sampling technique of Corcoran and Tweedie to estimate the self energy of an interacting Fermion model via Monte Carlo summation. Simulations suggest that the algorithm in this context converges extremely rapidly and results compare favorably to the true values obtained by brute force computations for low dimensional toy problems. A variant of the perfect sampling scheme which improves the accuracy of the Monte Carlo sum for small samples is also given.

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