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--- self_avoiding_walk [2021/04/12 20:14]
Scott Lawrence [Self-avoiding walk]
+++ self_avoiding_walk [2021/11/13 13:29] (current)
Brian McPeak [External links]
@@ Line 1: / Line 1: @@
 ====== Self-avoiding walk ======
-{{tag>logarithmic 2d 3d 4d 5d 6d}}
+{{tag>logarithmic non-unitary 2d 3d}}
-This is the $n\rightarrow 0$ specialization of the [[on_model]].
+A self-avoiding random walk (or self-avoiding walk, or SAW) is a path on a $d$-dimensional lattice in $\mathbb{Z}^d$ which never visits the same point more than once. As a statistical model, they are defined as the set of all such paths with length $n$ weighted with equal probability. A number of questions concerning their behavior as $n \to \infty$ are still open, and the models display a rich variety of critical behavior.
+This is the $n\rightarrow 0$ specialization of the [[on_model]]. This model is an example of a logarithmic CFT, which are non-unitarity.
 ===== External links =====
   * [[https://en.wikipedia.org/wiki/Self-avoiding walk|Wikipedia]]
+  * see[[https://arxiv.org/abs/cond-mat/0209638|Cardy's notes]] on SAWs from a physics point of view
+  * see [[https://arxiv.org/abs/1206.2092|1206.2092]] for lectures on SAWs from a mathematical viewpoint
+  * see [[https://arxiv.org/abs/1605.03959|1605.03959]] on logarithmic CFTs for a discussion on the $O(0)$ model

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