Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrödinger model of FQHE: classical and quantum aspects
arXiv:hep-th/9709075 · doi:10.1016/S0550-3213(97)00810-9
Abstract
The soliton structure of a gauge theory recently proposed to describe chiral excitations in the Fractional Quantum Hall Effect is investigated. A new type of non-linear derivative Schrödinger equation emerges as an effective description of the system that supports novel chiral solitons. We discuss the classical properties of solutions with vanishing and non-vanishing boundary conditions (dark solitons) and we explain their relation to integrable systems. The quantum analysis is also addressed in the framework of a semiclassical approximation improved by Renormalization Group arguments.
39 page, RevTeX, 6 figures