Self-dual Chern-Simons solitons and two-dimensional nonlinear equations

Journal Article · Thu Feb 14 23:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1332· OSTI ID:5620995

Dunne, G V ^[1]; Jackiw, R ^[2]; Pi, S ^[3]; Trugenberger, C A ^[4]

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1. Department of Mathematics and Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (US)
2. Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA)
3. Department of Physics, Boston University, Boston, Massachusetts 02215 (USA)
4. Theoretical Physics Division, T-8, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)

The nonlinear planar Schroedinger equation with additional coupling to non-Abelian Chern-Simons gauge fields possesses static, zero-energy solutions that satisfy self-dual equations. When the Schroedinger field is in the adjoint representation, the static equations comprise a two-dimensional reduction of the four-dimensional self-dual Yang-Mills system and can be given various zero-curvature formulations. Well-known nonlinear equations of two-dimensional physics arise for the Schroedinger field, both in the adjoint and defining representations. Thus nonrelativistic matter interacting with Chern-Simons fields provides a unified dynamical framework for these equations.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5620995
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
CURRENT DENSITY
DIFFERENTIAL EQUATIONS
DUALITY
EQUATIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
SCALAR FIELDS
SCHROEDINGER EQUATION
SOLITONS
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
VECTOR FIELDS
WAVE EQUATIONS
YANG-MILLS THEORY