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

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

1992-07-27

arxiv.org/abs/hep-lat/9207030v1

Nucl.Phys. B409 (1993) 635-662

Physics

High Energy Physics

High Energy Physics - Lattice

23 pages text plus 12 figures [Submitted to Nuc. Phys. B, 7/92]

Scientific paper

10.1016/0550-3213(93)90544-Y

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.

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