A PHYSICAL PICTURE FOR THE PHASE-TRANSITIONS IN ZN SYMMETRIC MODELS

A PHYSICAL PICTURE FOR THE PHASE-TRANSITIONS IN ZN SYMMETRIC MODELS
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DOI:
10.1016/0550-3213(80)90473-3
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发表时间:
1980-01-01
期刊:
影响因子:
2.8
通讯作者:
RABINOVICI, E
RABINOVICI, E
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
EINHORN, MB;SAVIT, R;RABINOVICI, E

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我们展示了锌对称自旋和规范理论中的相变如何被理解为是由拓扑激发的凝聚引起的。对于二维zn周期高斯和矢量波茨模型,有两个相变,第一个是由弦(域边界)的凝聚引起的,第二个是由漩涡的解除引起的。讨论了图像与卡达诺夫双库仑气体表示的关系。使用我们的表示,我们还解释了这些模型与最近的Halperin和Nelson二维熔化理论之间的对应关系。最后,我们描述了我们的图像到更高维度和测量理论的概括。
We show how the phase transitions in ZNsymmetric spin and gauge theories can be understood as being caused by condensations of topological excitations. For the two-dimensional ZNperiodic gaussian and vector Potts models, there are two phase transitions, the first caused by a condensation of strings (domain boundaries) and the second by an unbinding of vortices. The relationship between our picture and the double Coulomb gas representation of Kadanoff is discussed. Using our representation, we also explain the correspondence between these models and the recent theory of two-dimensional melting of Halperin and Nelson. Finally, we describe generalizations of our picture to higher dimensions and to gauge theories.