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Dynamic critical behavior of multi-grid Monte Carlo for two-dimensional nonlinear sigma-models

Mena, G; Mendes, T; Pelissetto, A; Sokal, AD; (1996) Dynamic critical behavior of multi-grid Monte Carlo for two-dimensional nonlinear sigma-models. In: NUCLEAR PHYSICS B. (pp. 796 - 799). ELSEVIER SCIENCE BV

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Abstract

We introduce a new and very convenient approach to multi-grid Monte Carlo (MGMC) algorithms for general nonlinear a-models: it is based on embedding an XY model into the given sigma-model, and then updating the induced XY model using a standard XY-model MGMC code. We study the dynamic critical behavior of this algorithm for the two-dimensional O(N) sigma-models with N = 3, 4, 8 and for the SU(3) principal chiral model. We find that the dynamic critical exponent z varies systematically between these different asymptotically free models: it is approximately 0.70 for O(3), 0.60 for O(4), 0.50 for O(8), and 0.45 for SU(3). It goes without saying that we have no theoretical explanation of this behavior.

Type: Proceedings paper
Title: Dynamic critical behavior of multi-grid Monte Carlo for two-dimensional nonlinear sigma-models
Event: Annual International Symposium on Lattice Field Theory
Location: MELBOURNE, AUSTRALIA
Dates: 1995-07-11 - 1995-07-15
UCL classification: UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics
URI: http://discovery.ucl.ac.uk/id/eprint/1323495
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