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Simulating the All-Order Strong Coupling Expansion I: Ising Model Demo Export

(28 Aug 2008)

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simulation strong-coupling theory

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We investigate in some detail an alternative simulation strategy for lattice field theory based on a proposal by Prokof'ev and Svistunov dating back to 2001. It amounts to stochastically simulating the strong coupling expansion rather than the usual configuration sum. A detailed error analysis and an important generalization of the method are exemplified here in the simple Ising model. It allows for estimates of the two point function where in spite of exponential decay the signal to noise ratio does not degrade at large separation. Critical slowing down is practically absent. In the outlook some thoughts on the general applicability of the method are offered.


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