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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
