The soliton structure of a gauge theory recently proposed to describe two-dimensional chiral excitations is investigated. A new type of non-linear derivative Schrodinger 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 Schrodinger equation: classical and quantum aspects / Griguolo, Luca; D., Seminara. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 516:(1998), pp. 467-498. [10.1016/S0550-3213(97)00810-9]

Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrodinger equation: classical and quantum aspects

GRIGUOLO, Luca;
1998-01-01

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 Schrodinger 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.
1998
Chiral solitons from dimensional reduction of Chern-Simons gauged non-linear Schrodinger equation: classical and quantum aspects / Griguolo, Luca; D., Seminara. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 516:(1998), pp. 467-498. [10.1016/S0550-3213(97)00810-9]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2532032
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