The fermion density operator in the droplet bosonization picture
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
We derive the phase space particle density operator in the 'droplet' picture of bosonization in terms of the boundary operator. We demonstrate that it satisfies the correct algebra and acts on the proper Hilbert space describing the underlying fermion system, and therefore it can be used to bosonize any hamiltonian or related operator. As a demonstration we show that it reproduces the correct excitation energies for a system of free fermions with arbitrary dispersion relations.
Cite
@article{arxiv.hep-th/0605040,
title = {The fermion density operator in the droplet bosonization picture},
author = {Alberto Enciso and Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/0605040},
year = {2008}
}
Comments
16 pages