Abelian-Chern-Simons theory with matter fields

Journal Article · Sun Jan 19 23:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92000211· OSTI ID:5262237

Cho, K H; Rim, C ^[1]

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1. Dept. of Physics, Chonbug National University, Chonju (KR)

This paper reports that it is shown that in the Abelian Chern-Simons plus Maxwell theory in 1 + 2 dimensions there is a unitary transformation such that massless modes of the gauge fields are eliminated completely in the Hilbert space and a nonlocal interaction between matter fields (fermions or scalars) remains instead. The nonlocal interaction is given in terms of an effective gauge field satisfying the Gauss constraint. It is also pointed out that it is the nonlocal interaction that changes the statistics of pointlike particles and that makes a vortex charged.

• OSTI ID: 5262237
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:2; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GAUSS FUNCTION
HILBERT SPACE
INTERACTIONS
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
MATHEMATICAL SPACE
MATHEMATICS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SCALARS
SPACE
STATISTICS
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
UNITARY SYMMETRY