Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrödinger model of FQHE: classical and quantum aspects

Details Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrödinger model of FQHE: classical and quantum aspects Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrödinger model of FQHE: classical and quantum aspects

1997-09-10

arxiv.org/abs/hep-th/9709075v1

Nucl.Phys. B516 (1998) 467-498

Physics

High Energy Physics

High Energy Physics - Theory

39 page, RevTeX, 6 figures

Scientific paper

10.1016/S0550-3213(97)00810-9

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 Schr\"odinger 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.

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