对称模型的Pirogov-Sinai新轮廓理论
Pirogov-Sinai Theory With New Contours for Symmetric Models
摘要：
Peierls在二维伊辛模型中引入了围道变元。佩尔斯得益于伊辛模型的特殊对称性。对于非对称模型的论点是由Pirogov和西奈。这是非常普遍和相当困难的。直观地说，佩尔斯的论证对任何对称模型都有效。但是，如果人们想使用Peierls的论点更一般的对称模型，在Pirogov-Sinai理论中定义的轮廓不工作。我们给出了一个新的轮廓的定义，它允许相对容易地证明对称模型的Pirogov-Sinai理论的主要结果。也就是说，我们的轮廓允许我们应用经典的Peierls参数（轮廓去除操作）。
英文摘要：
The contour argument was introduced by Peierls for two dimensional Ising model. Peierls benefited from the particular symmetries of the Ising model. For non-symmetric models the argument was developed by Pirogov and Sinai. It is very general and rather difficult. Intuitively clear that the Peierls argument does work for any symmetric model. But contours defined in Pirogov-Sinai theory do not work if one wants to use Peierls argument for more general symmetric models. We give a new definition of contour which allows relatively easier prove the main result of the Pirogov-Sinai theory for symmetric models. Namely, our contours allow us to apply the classical Peierls argument (with contour removal operation).
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