Exact Scaling Functions for Self-Avoiding Loops and Branched Polymers
统计力学
2009-11-07 v3 高能物理 - 理论
数学物理
math.MP
摘要
It is shown that a recently conjectured form for the critical scaling function for planar self-avoiding polygons weighted by their perimeter and area also follows from an exact renormalization group flow into the branched polymer problem, combined with the dimensional reduction arguments of Parisi and Sourlas. The result is generalized to higher-order multicritical points, yielding exact values for all their critical exponents and exact forms for the associated scaling functions.
引用
@article{arxiv.cond-mat/0107223,
title = {Exact Scaling Functions for Self-Avoiding Loops and Branched Polymers},
author = {John Cardy},
journal= {arXiv preprint arXiv:cond-mat/0107223},
year = {2009}
}
备注
5 pages; v2: factors of 2 corrected; v.3: relation with existing theta-point results clarified, some references added/updated