Constraints on Beta Functions from Duality
凝聚态物理
2008-11-26 v2 高能物理 - 格点
高能物理 - 理论
摘要
We analyze the way in which duality constrains the exact beta function and correlation length in single-coupling spin systems. A consistency condition we propose shows very concisely the relation between self-dual points and phase transitions, and implies that the correlation length must be duality invariant. These ideas are then tested on the 2-d Ising model, and used towards finding the exact beta function of the -state Potts model. Finally, a generic procedure is given for identifying a duality symmetry in other single-coupling models with a continuous phase transition.
关键词
引用
@article{arxiv.cond-mat/9609242,
title = {Constraints on Beta Functions from Duality},
author = {P. H. Damgaard and P. E. Haagensen},
journal= {arXiv preprint arXiv:cond-mat/9609242},
year = {2008}
}
备注
LaTeX, 6 pages