Renormalization of modular invariant Coulomb gas and sine-Gordon theories, and the quantum Hall flow diagram

被引：6

作者：

Carpentier, D ^{[1
]}

机构：

[1] Ecole Normale Super, Phys Theor Lab, F-75005 Paris, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 21期

关键词：

D O I：

10.1088/0305-4470/32/21/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the renormalization group (RG) we study two-dimensional electromagnetic Coulomb gas and extended sine-Gordon theories invariant under the modular group SL(2, Z). The flow diagram is established from the scaling equations, and we derive the critical behaviour at the various transition points of the diagram. Following the proposal for a SL(2,;Z) duality between different quantum Hall fluids, we discuss the analogy between this flow and the global quantum Hall phase diagram.

引用

页码：3865 / 3874

页数：10

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