A simple model of a degenerate two-dimensional Bose liquid interacting with a fluctuating gauge field is investigated as a possible candidate to describe the charge degree of freedom in the normal state of the cuprate superconductors. We show that the fluctuating gauge field efficiently destroys superfluidity even in the Bose degenerate regime. We discuss the nature of the resulting normal state in terms of the geometric properties of the imaginary-time paths of the bosons. We will also present numerical results on the transport properties and the density correlations in the system. We find a transport scattering rate of ℏ/${\mathrm{\tau }}_{\mathrm{}\mathrm{tr}}$∼${2\mathrm{k}}_{\mathrm{B}}$T, consistent with the experiments on the cuprates in the normal state. We also find that the density correlations of our model resemble the charge correlations of the t-J model.

• Received 22 July 1996

DOI:https://doi.org/10.1103/PhysRevB.55.591