Bosonization in higher dimensions via noncommutative field theory.
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.
Polychronakos
Alexios P
AP
Physics Department, City College of the CUNY, New York, New York 10031, USA. alexios@sci.ccny.cuny.edu