A dipole interpretation of the v = 1/2 state

We consider the problem of bosonic particles interacting repulsively in a strong magnetic field at the filling factor v = 1. We project the system in the lowest Landau level and set up a formalism to map the dynamics into an interacting fermion system. Within a mean field approximation we find that the composite fermions behave as a gas of neutral dipoles and we expect that the low energy limit also describes the physical v = 1/2 fermionic state.