ELECTROMAGNETIC-INTERACTION OF ANYONS IN NONRELATIVISTIC QUANTUM-FIELD THEORY

The nonrelativistic quantum-field-theoretic Lagrangian which describes an anyon system in the presence of an electromagnetic field is identi fied. A nonminimal magnetic coupling to the Chern-Simons statistical f ield as well as to the electromagnetic field together with & direct co upling between both fields are the nontrivial ingredients of the Lagra ngian obtained from the nonrelativistic limit of the fermionic relativ istic formulation. The results, an electromagnetic gyromagnetic ratio 2 for any spin together with a nontrivial dynamical spin-dependent con tact interaction between anyons as well as the spin dependence of the electromagnetic effective action, agree with the quantum-mechanical fo rmulation.