Dynamics of fermions coupling to a U(1) gauge field in the limit \(e^2\to\infty\)

Abstract

We study in this paper the properties of a gas of fermions coupling to a U(1) gauge field at wavevectors \(q<\Lambda<<k_F\) at dimensions larger than one, where \(\Lambda<<k_F\) is a high momentum cutoff and \(k_F\) is the fermi wave vector. In particular, we shall consider the \(e^2\to\infty\) limit where charge and current fluctuations at wave vectors \(q<\Lambda\) are forbidden. Within a bosonization approximation, effective actions describing the low energy physics of the system are constructed, where we show that the system can be described as a fermion liquid formed by chargeless quasi-particles which has vanishing wavefunction overlap with the bare fermions in the system.