Fock-space representation of coupled Abelian Chern-Simons theory

Journal Article · Sun Jul 15 04:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.552· OSTI ID:6706608

Swanson, M S ^[1]

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1. Department of Physics, University of Connecticut, Stamford, CT (USA)

The theory in 2+1 dimensions described by the Abelian Chern-Simons gauge field minimally coupled to a spinor field is given a Fock-space representation. The states which satisfy the constraint of Gauss's law are explicitly constructed for both the weak and strong implementation. The charged states are shown to be coherent states of disallowed ghost operators. The {ital S} matrix for the theory is explicitly constructed and the gauge field is shown to decouple from the theory. The charged states are reduced to exhibit a manifestly gauge-invariant form. The angular momentum operator for the theory is derived from Noether's theorem and given a decomposition in terms of Fock-space operators. The charged eigenstates of the angular momentum are shown to have the induced spin {ital Q}{sup 2}/4{pi}{kappa}, where {ital Q} is the total charge operator of the theory and {kappa} is the Chern-Simons action strength, leading to the possibility of exotic statistics for the charged particles.

• OSTI ID: 6706608
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:2; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CHARGED PARTICLES
COUPLING
EIGENSTATES
FOCK REPRESENTATION
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INVARIANCE PRINCIPLES
MATRICES
PARTICLE PROPERTIES
S MATRIX
SPIN
SPINOR FIELDS
THREE-DIMENSIONAL CALCULATIONS