
We propose the bosonization of a many-body fermion theory in D spatial dimensions through a noncommutative field theory on a (2D-1)-dimensional space. This theory leads to a chiral current algebra over the noncommutative space and reproduces the correct perturbative Hilbert space and excitation energies for the fermions. The validity of the method is demonstrated by bosonizing a two-dimensional gas of fermions in a harmonic trap.
Version to appear in PRL
High Energy Physics - Theory, Condensed Matter - Mesoscale and Nanoscale Physics, High Energy Physics - Theory (hep-th), Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics
High Energy Physics - Theory, Condensed Matter - Mesoscale and Nanoscale Physics, High Energy Physics - Theory (hep-th), Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics
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