Dynamic critical behavior of multigrid Monte Carlo for twodimensional nonlinear σmodels
Abstract
We introduce a new and very convenient approach to multigrid Monte Carlo (MGMC) algorithms for general nonlinear σmodels: it is based on embedding an XY model into the given σmodel, and then updating the induced XY model using a standard XYmodel MGMC code. We study the dynamic critical behavior of this algorithm for the twodimensional O( N) σmodels 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.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 March 1996
 DOI:
 10.1016/09205632(96)001776
 arXiv:
 arXiv:heplat/9509030
 Bibcode:
 1996NuPhS..47..796M
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 75280 bytes uuencoded gzip'ed (expands to 185401 bytes Postscript)