Anyons, spin, and statistics in (2+1)-dimensional U(1)-scalar Chern-Simons gauge field theory

Journal Article · Sun May 15 04:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.5512· OSTI ID:7069369

Graziano, E ^[1]; Rothe, K D ^[2]

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1. Institut fuer Theoretische Physik der Heidelberg Universitaet Philosphenweg 16, D-69120 Heidelberg (Germany) Dipartimento di Fisica, Universita degli Studi di Salerno and INFN Sez. di Napoli, I-84081 Salerno (Italy)
2. Institut fuer Theoretische Physik der Heidelberg Universitaet Philosophenweg 16, D-69120 Heidelberg (Germany)

We present a detailed analysis of the quantum field theory of a Chern-Simons field coupled minimally to massive charged bosonic matter. This analysis is carried out in the Coulomb and covariant gauges. Some aspects concerning the transformation law of the fields under Poincare transformations are clarified. Emphasis is placed on gauge-invariant operators. The order and disorder operators are constructed from their dual algebra. The order operator is shown to obey anyonic statistics. The correlator of the disorder operator is computed in the large boson-mass limit, and the corresponding cluster properties are discussed. In the absence of a symmetry-breaking Higgs potential, there is no evidence for the ground state being anyonic.

• OSTI ID: 7069369
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANYONS
FIELD THEORIES
GAUGE INVARIANCE
HIGGS MODEL
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICS
ORDER-DISORDER TRANSFORMATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE TRANSFORMATIONS
POINCARE GROUPS
QUANTUM FIELD THEORY
QUASI PARTICLES
SCALAR FIELDS
SPIN
STATISTICS
SYMMETRY BREAKING
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS
UNIFIED GAUGE MODELS