PERFECT STOCHASTIC SUMMATION IN HIGH ORDER FEYNMAN GRAPH EXPANSIONS

J. N. Corcoran (), U. Schneider () and H.-B. Schüttler ()
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J. N. Corcoran: Department of Applied Mathematics, The University of Colorado, Campus Box 526 Boulder CO 80309-0526, USA
U. Schneider: Geophysical Statistics Project, National Center for Atmospheric Research, Climate and Global Dynamics Division, P. O. Box 3000, Boulder, CO 80307-3000, USA
H.-B. Schüttler: Center for Simulational Physics, Department of Physics and Astronomy, The University of Georgia, Athens GA 30602, USA
Authors registered in the RePEc Author Service: Uwe A. Schneider () and Ulrike Schneider

International Journal of Modern Physics C (IJMPC), 2006, vol. 17, issue 11, 1527-1549

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 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.

Keywords: Perfect simulation; Monte Carlo summation; Metropolis-Hastings algorithm; Feynman diagrams; self energy (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0129183106009989

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