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

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

2008-08-28

arxiv.org/abs/0808.3934v2

Nucl.Phys.B810:491-502,2009

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 2 figures, refs. added, small language changes, to app. in Nucl. Phys. B[FS]

Scientific paper

10.1016/j.nuclphysb.2008.09.033

We investigate in some detail an alternative simulation strategy for lattice field theory based on the so-called worm algorithm introduced by Prokof'ev and Svistunov in 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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