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.

25 pages

References in corpus (2)

• Towards a field theory of the fractional quantum Hall states
• Half-filled Landau level as a Fermi liquid of dipolar quasiparticles

Cited by in corpus (3)

• Absence of U(1) spin liquids in two dimensions
• Strong coupling analysis of QED${}_3$ for excitation spectrum broadening in undoped high-temperature superconductor
• Self-trapping phenomenon in (2+1)-dimensional quantum electrodynamics and its application to high-T_c cuprates with Neel ordering