Ising (conformal) fields and cluster area measures.
نویسندگان
چکیده
We provide a representation for the scaling limit of the d = 2 critical Ising magnetization field as a (conformal) random field by using Schramm-Loewner Evolution clusters and associated renormalized area measures. The renormalized areas are from the scaling limit of the critical Fortuin-Kasteleyn clusters and the random field is a convergent sum of the area measures with random signs. Extensions to off-critical scaling limits, to d = 3, and to Potts models are also considered.
منابع مشابه
2 1 D ec 2 00 8 Ising ( Conformal ) Fields and Cluster Area Measures
We provide a representation for the scaling limit of the d = 2 critical Ising magnetization field as a (conformal) random field using SLE (Schramm-Loewner Evolution) clusters and associated renormalized area measures. The renormalized areas are from the scaling limit of the critical FK (Fortuin-Kasteleyn) clusters and the random field is a convergent sum of the area measures with random signs. ...
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 106 14 شماره
صفحات -
تاریخ انتشار 2009