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Zamolodchikov-Faddeev Algebra in 2-Component

By Yue-lin Shen and Mo-lin Ge

Abstract

We investigate Wilczeck’s mutual fractional statistical model at the field- theoretical level. The effective Hamiltonian for the particles is derived by the canonical procedure, whereas the commutators of the anyonic excitations are proved to obey the Zamolodchikov-Faddeev algebra. Cases leading to well known statistics as well as Laughlin’s wave function are discussed. PACS numbers:05.30.-d,73.40.Hm,71.10+x 1 Fractional statistics plays an important role in planar physics. In two dimensional space identical particles can obey new kinds of statistics [1], interpolating between the normal Bose and Fermi Statistics. The general theory of fractional statistics was put forward by Wilczeck and Zee [2] and Wu [3] who interprete the theory in the path integeral formalism and related the theory to the braid group, while the connection with the Chern-Simons theory was also proposed [4, 5]. Since then, a new subject, called anyonic physics, has been widely developed, especially in the application in High-Tc superconductivity [6] and quantum Hall effect [7]

Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.306.2997
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