Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1995-09-15
Nucl.Phys.Proc.Suppl. 47 (1996) 727-730
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, postscript file, uuencoded and tar compressed
Scientific paper
10.1016/0920-5632(96)00160-0
Twelve years ago, Haldane formulated his famous conjecture for 1-d antiferromagnetic quantum spin chains. In the context of the 2-d O(3) model with a \theta term, it predicts a phase transition at \theta = \pi, which has not yet been verified reliably. To simulate this we use the Wolff cluster algorithm together with an improved estimator for the topological charge distribution. Each cluster carries integer or half integer charge. Clusters with charge 1/2 are identified with merons. At \theta = \pi they are inactive, such that the mass gap vanishes. We obtain critical exponents which are consistent with predictions from the k=1 WZNW model, therefore confirming a second order phase transition.
Bietenholz Wolfgang
Pochinsky A.
Wiese Uwe-Jens
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