Schrödinger fields on the plane with [U(1)]N Chern-Simons interactions and generalized self-dual solitons

Chanju Kim, Choonkyu Lee, Pyungwon Ko, Bum Hoon Lee, Hyunsoo Min

Research output: Contribution to journalArticlepeer-review

53 Scopus citations

Abstract

A general nonrelativistic field theory on the plane with couplings to an arbitrary number of Abelian Chern-Simons gauge fields is considered. Elementary excitations of the system are shown to exhibit fractional and mutual statistics. We identify the self-dual systems for which certain classical and quantal aspects of the theory can be studied in a much simplified mathematical setting. Then, specializing to the general self-dual system with two Chern-Simons gauge fields (and nonvanishing mutual statistics parameter), we present a systematic analysis for the static vortexlike classical solutions, with or without a uniform background magnetic field. Relativistic generalizations are also discussed briefly.

Original languageEnglish
Pages (from-to)1821-1840
Number of pages20
JournalPhysical Review D
Volume48
Issue number4
DOIs
StatePublished - 1993

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