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Bosonization theory of fermions interacting via a confining potential

T. K. Ng
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Abstract

We study in this paper the properties of a gas of fermions interacting {\em via} a scalar potential $v(q)=4π{e}^2/q^2$ for $q<Λ<<k_F$ at dimensions larger than one, where $Λ$ 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 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.

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T. K. Ng. 1999-08-11. Bosonization theory of fermions interacting via a confining potential. https://arxiv.org/abs/cond-mat/9908163

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