Global Demons in Field Theory : Critical Slowing Down in the Xy Model

Dimitri Kusnezov; John Sloan

doi:10.1016/0550-3213(93)90544-y

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arXiv · hep-lat/9207030

Global Demons in Field Theory : Critical Slowing Down in the Xy Model

Dimitri Kusnezov·John Sloan

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Abstract

We investigate the use of global demons, a `canonical dynamics', as an approach to simulating lattice regularized field theories. This deterministically chaotic dynamics is non-local and non-Hamiltonian, and preserves the canonical measure rather than $δ(H-E)$. We apply this inexact dynamics to the 2D XY model, comparing to various implementations of hybrid Monte Carlo, focusing on critical exponents and critical slowing down. In addition, we discuss a scheme for making energy non-conserving dynamical algorithms exact without the use of a Metropolis hit.

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Dimitri Kusnezov, John Sloan. 1992-07-27. Global Demons in Field Theory : Critical Slowing Down in the Xy Model. https://doi.org/10.1016/0550-3213(93)90544-y

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