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 , interpolating between the normal Bose and Fermi Statistics. The general theory of fractional statistics was put forward by Wilczeck and Zee  and Wu  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  and quantum Hall effect 
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