Electromagnetic Interaction of Anyons in Non-Relativistic Quantum Field Theory

Details Electromagnetic Interaction of Anyons in Non-Relativistic Quantum Field Theory Electromagnetic Interaction of Anyons in Non-Relativistic Quantum Field Theory

1992-11-24

arxiv.org/abs/hep-th/9211106v1

Int. J. Mod. Phys. A9 (1994) 953-968

Physics

High Energy Physics

High Energy Physics - Theory

20pp, Plain TeX

Scientific paper

10.1142/S0217751X94000431

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 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.

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