Classical and quantal nonrelativistic Chern-Simons theory

Journal Article · Thu Nov 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.3500· OSTI ID:6099123

Jackiw, R ^[1]; Pi, S ^[2]

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1. Columbia University, Department of Physics, New York, NY (USA)
2. Rockefeller University, New York, NY (USA)

We construct a nonrelativistic field theory for the second-quantized {ital N}-body system of point particles with Chern-Simons interactions. Various properties of this model are discussed: its obvious and hidden symmetries, its relation to a relativistic field theory, and its supersymmetric formulation. We present classical, static solutions--solitons--that satisfy a self-dual equation, which is equivalent to the Liouville equation; hence, it is completely solvable. The dynamical role of the Chern-Simons interaction is demonstrated: the interaction does not merely change statistics but also provides the forces that bind the classical solitons.

• OSTI ID: 6099123
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOLTZMANN-VLASOV EQUATION
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
DUALITY
EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
HAMILTONIANS
LIE GROUPS
MAGNETIC FIELDS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
QUASI PARTICLES
SOLITONS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
VECTOR FIELDS