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

Abstract

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.

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

References in corpus (6)

• Worm algorithms for classical statistical models
• Monte Carlo errors with less errors
• High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class
• Method for simulating O(N) lattice models at finite density
• Cluster simulation of relativistic fermions in two space-time dimensions
• A Dual Algorithm for Non-abelian Yang-Mills coupled to Dynamical Fermions

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