MERON-CLUSTER SIMULATION OF THE THETA-VACUUM IN THE 2D O(3) MODEL

被引:103
作者
BIETENHOLZ, W
POCHINSKY, A
WIESE, UJ
机构
[1] MIT, DEPT PHYS, CAMBRIDGE, MA 02139 USA
[2] MOSCOW THEORET & EXPTL PHYS INST, MOSCOW 117259, RUSSIA
关键词
D O I
10.1103/PhysRevLett.75.4524
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The 2D O(3) model with a theta vacuum term is formulated in terms of Wolff clusters. Each cluster carries an integer or half-integer topological charge. The clusters with charge +/-1/2 are identified as merons. At theta = pi the merons are bound in pairs inducing a second order phase transition at which the mass gap vanishes. The construction of an improved estimator for the topological charge distribution makes numerical simulations of the phase transition feasible. The measured critical exponents agree with those of the k = 1 Wess-Zumino-Novikov-Witten (WZNW) model. Our results are consistent with Haldane's conjecture fro 1D antiferromagnetic quantum spin chains.
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页码:4524 / 4527
页数:4
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