中性和带电任意子流体
Neutral and Charged Anyon Fluids
摘要：
（评论）中性和带电的任意子流体的性质进行检查，主要集中在这个问题上是否带电的任意子流体在零和有限温度下表现出超导性。任意子流体的量子力学由陈-西蒙斯规范理论精确描述。随机相位近似（RPA），线性化自洽场方法（SCF），和流体动力学的方法在任意子流体的早期分析都是等价的。讨论了中性流体和带电任意子流体之间的联系和区别。要正确描述磁通量子化、涡旋形成和相变等现象，必须超越RPA和线性化SCF，甚至超越Hartree-Fock近似。主题包括：Anyons，Aharonov-Bohm效应，Chern-Simons规范理论，Hartree-Fock基态，RPA和SCF，路径积分表示，RPA =线性化SCF，响应函数，声子和等离子体激元，流体力学描述，有效理论，零温和有限温下的迈斯纳效应，SCF中的deHaas-van Alphen效应，非均匀场中的热力学势，T_c，其他重要问题。(To见Int. J. Mod. Phys. B）
英文摘要：
(Review) Properties of neutral and charged anyon fluids are examined, with the main focus on the question whether or not a charged anyon fluid exhibits a superconductivity at zero and finite temperature. Quantum mechanics of anyon fluids is precisely described by Chern-Simons gauge theory. The random phase approximation (RPA), the linearized self-consistent field method (SCF), and the hydrodynamic approach employed in the early analysis of anyon fluids are all equivalent. Relations and differences between neutral and charged anyon fluids are discussed. It is necessary to go beyond RPA and the linearized SCF, and possively beyond the Hartree-Fock approximation, to correctly describe various phenomena such as the flux quantization, vortex formation, and phase transition. Topics includes: Anyons, Aharonov-Bohm effect, Chern-Simons gauge theory, Hartree-Fock ground state, RPA and SCF, Path integral representation, RPA = linearized SCF, Response functions, Phonons and plasmons, Hydrodynamic description, Effective theory, Meissner effect at zero and finite temperature, de Haas - van Alphen effect in SCF, Thermodynamic potential in inhomogeneous fields, T_c, Other important issues. (To appear in Int. J. Mod. Phys. B)
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