TY - JOUR

T1 - Dynamic critical behavior of multi-grid Monte Carlo for two-dimensional nonlinear σ-models

AU - Mana, Gustavo

AU - Mendes, Tereza

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

N1 - Funding Information:
This work was supported in part by NSF grant DMS-9200719.

PY - 1996/3

Y1 - 1996/3

N2 - We introduce a new and very convenient approach to multi-grid Monte Carlo (MGMC) algorithms for general nonlinear σ-models: it is based on embedding an XY model into the given σ-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) σ-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.

AB - We introduce a new and very convenient approach to multi-grid Monte Carlo (MGMC) algorithms for general nonlinear σ-models: it is based on embedding an XY model into the given σ-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) σ-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.

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U2 - 10.1016/0920-5632(96)00177-6

DO - 10.1016/0920-5632(96)00177-6

M3 - Article

AN - SCOPUS:16144367785

SN - 0920-5632

VL - 47

SP - 796

EP - 799

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 1-3

ER -