The field theory of the nu = 1/2 Quantum Hall Effect: new results
Abstract
We present a hamiltionian that permits the systematic study of the nu =1/2 Hall effect. It contains composite fermions (with built in correlations) coupled to magnetoplasmons. Even at zeroth order in this coupling we obtain a correlated wave function, the correct Hall conductance, drift and cyclotron currents. At second order we find two mass scales emerge: 1/m^{*} \simeq e^2l_0/6 controls the kinetic energy of the fermions, while the bare mass still enters quantities describing the plasmons for which we obtain the dispersion \omega (q) = \omega_0 + e^2 ( q/ 4 }+ q^2l_o/ 12 + ...)Keywords
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