模不变库仑气体和Sine-Gordon理论的重整化及量子Hall流图
Renormalization of modular invariant Coulomb gas and Sine-Gordon theories, and quantum Hall flow diagram
摘要：
利用重整化群（RG）研究了二维电磁库仑气体和模群SL（2，Z）下不变量的推广Sine-Gordon理论。流程图是建立从缩放方程，我们得出的临界行为在各个过渡点的图。在提出不同量子霍尔流体之间的SL（2，Z）对偶性之后，我们讨论了这种流体与全局量子霍尔相图之间的类比。
英文摘要：
Using the renormalisation 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 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.
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