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 (3)

• 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

Cited by in corpus (5)

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• Anomalous discrete chiral symmetry in the Gross-Neveu model and loop gas simulations
• Recent Developments in Dual Lattice Algorithms
• Dual Non-Abelian Yang-Mills Simulations in Four Dimensions