Bosonization in higher dimensions via noncommutative field theory
High Energy Physics - Theory
2009-11-11 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.hep-th/0502150,
title = {Bosonization in higher dimensions via noncommutative field theory},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0502150},
year = {2009}
}
Comments
Version to appear in PRL