CHIRAL SOLITONS FROM DIMENSIONAL REDUCTION OF CHERN-SIMONS GAUGED NONLINEAR SCHRODINGER-EQUATION - CLASSICAL AND QUANTUM ASPECTS

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 descrip tion of the system that supports novel chiral solitons. We discuss the classical properties of solutions with vanishing and non-vanishing bo undary conditions (dark solitons) and we explain their relation to int egrable systems. The quantum analysis is also addressed in the framewo rk of a semiclassical approximation improved by renormalization group arguments. (C) 1998 Elsevier Science B.V.