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.
516
467
498
L. GRIGUOLO; D. SEMINARA
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/223020
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 17
  • ???jsp.display-item.citation.isi??? 19
social impact