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Bosonization in higher dimensions via noncommutative field theory

Alexios P. Polychronakos
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Abstract

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.

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BibTeXRIS

Alexios P. Polychronakos. 2006-05-04. Bosonization in higher dimensions via noncommutative field theory. https://doi.org/10.1103/physrevlett.96.186401

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