Bosonization theory of fermions interacting via a confining potential

We study in this paper the properties of a gas of fermions interacting {\em via} a scalar potential $v(q)=4\pi e^2\mathrm{/}{q}^2$ for $q<\mathrm{\Lambda }<<k_F$ at dimensions larger than one, where $\mathrm{\Lambda }$ is a high momentum cutoff and $k_F$ is the fermi wave vector. In particular, we shall consider the $e^2\to \mathrm{\infty }$ limit where the potential becomes confining. Within a bosonization approximation, effective Hamiltonians describing the low energy physics of the system are constructed, where we show that the system can be described as a fermi liquid formed by chargeless quasi-particles which has vanishing wavefunction overlap with the bare fermions in the system.