Bosonization in higher dimensions via noncommutative field theory

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.

Version to appear in PRL

References in corpus (2)

• Chiral actions from phase space (quantum Hall) droplets
• Kac-Moody theories for colored phase space (quantum Hall) droplets

Cited by in corpus (8)

• A two dimensional analogue of the Luttinger model
• Noncommutative Fluids
• The fermion density operator in the droplet bosonization picture
• Fermions in two dimensions, bosonization, and exactly solvable models
• Exact operator Hamiltonians and interactions in the droplet bosonization method
• Noncommutative Wess-Zumino-Witten actions and their Seiberg-Witten invariance
• A General Approach to Bosonization
• Electromagnetic Excitations of A_n Quantum Hall Droplets