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We study in this paper the properties of a gas of fermions interacting via a scalar potential v(q) 54pe/q for q,L!kF at dimensions larger than 1, where L!kF is a high-momentum cutoff and kF is the Fermi wave vector. In particular, we shall consider the e2→` limit, where charge fluctuations at wave vectors q,L 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 Fermi liquid formed by chargeless quasiparticles, which has vanishing wave function overlap with the bare fermions in the system.

physical review. b, condensed matter

Bosonization theory of fermions interacting via a Coulomb potential in the limit<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mi>∞</mml:mi></mml:math>

Bosonization theory of fermions interacting via a Coulomb potential in the limite2→∞