热FK–Ising界面与有质量SLE
Thermal FK–Ising interfaces and massive SLE
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具体内容
稿件研究热FK–Ising界面在有界单连通区域中一致角有界等径向格点上的标度极限。作者声称对每个固定非零质量（正或负）证明界面收敛，极限不依赖格点与容许区域逼近。正质量时极限为唯一的有质量SLE_{16/3}律，其局部有限能量漂移由有质量边值问题确定；负质量由对偶与反转得到。定理还允许直径发散的Carathéodory逼近。
- 证明热FK–Ising界面在等径向格点上收敛到与格点无关的极限
- 正质量极限为唯一有质量SLE_{16/3}律，漂移由有质量边值问题确定
- 负质量由对偶与反转得到；允许直径发散的Carathéodory逼近
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英文原始摘要
We prove convergence of thermal FK–Ising interfaces, for every fixed nonzero mass of either sign, on uniformly angle-bounded isoradial lattices in bounded simply connected domains. The limit is independent of the lattice and the admissible domain approximation. For positive mass it is the unique massive SLE$`_{16/3}`$ law with locally finite-energy drift prescribed by a massive boundary value problem; negative mass follows by duality and reversal. The theorem also allows Carathéodory approximations whose diameters diverge.
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