The soliton structure of a gauge theory recently proposed to describe two-dimensional chiral excitations 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.
Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schroedinger model of FQHE: Classical and quantum aspects / L. GRIGUOLO; D. SEMINARA. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - STAMPA. - 516:(1998), pp. 467-498. [10.1016/S0550-3213(97)00810-9]
Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schroedinger model of FQHE: Classical and quantum aspects
SEMINARA, DOMENICO
1998
Abstract
The soliton structure of a gauge theory recently proposed to describe two-dimensional chiral excitations 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.
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