Electromagnetic Interaction of Anyons in Non-relativistic Quantum Field Theory
نویسنده
چکیده
The non-relativistic quantum field theoretic lagrangian which describes an anyon system in the presence of an electromagnetic field is identified. A non-minimal magnetic coupling to the Chern-Simons statistical field as well as to the electromagnetic field together with a direct coupling between both fields are the non trivial ingredients of the lagrangian obtained from the non relativistic limit of the fermionic relativistic formulation. The results, an electromagnetic gyromagnetic ratio 2 for any spin together with a non trivial dynamical spin dependent contact interaction between anyons as well as the spin dependence of the electromagnetic effective action, agree with the quantum mechanical formulation. DFTUZ 92/15 IPNO/TH 92/99 November 1992 † Work partially supported by CICYT (Proyecto AEN 90-0030). ‡ Unité de Recherche des Universités Paris 11 et Paris 6 associée au CNRS.
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