Global demons in field theory: Critical slowing down in the XY model

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

\delta(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.

lattice field theory
XY model
dimension: 2
correlation function
critical phenomena
numerical methods: Monte Carlo
numerical calculations: Monte Carlo

References(26)

Figures(0)

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