Canonical quantization and gauge invariant anyon operators in Chern-Simons scalar electrodynamics

Journal Article · Mon Mar 01 04:00:00 EST 1993 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1006/aphy.1993.1023· OSTI ID:6370850

Banerjee, R ^[1]; Chatterjee, A; Sreedhar, V V ^[2]

---

1. S.N. Bose National Centre for Basic Sciences, Bidhannagar, Calcutta (India)
2. Saha Institute of Nuclear Physics, Bidhannagar, Calcutta (India)

Complex scalar fields minimally coupled to an abelian Chern-Simons gauge field are systematically quantized using Dirac's method for constrained systems. Manifestly gauge invariant anyon operators are constructed following the line integral prescription of Schwinger. Stringent consistency conditions like the spin-statistics connection, Poincare invariance, and tree level vector current Ward identity are scrutinised. The effect of the addition of the Maxwell term to the lagrangian density on all the above results is examined. The gauge invariant anyon operators constructed in this case are shown not to exhibit any spin or statistics transmutation as one moves from shorter length scales to longer ones, where the residual coulomb interaction is effectively screened. 27 refs.

• OSTI ID: 6370850
• Journal Information: Annals of Physics (New York); (United States), Journal Name: Annals of Physics (New York); (United States) Vol. 222:2; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
ANYONS
ELECTRODYNAMICS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
NUCLEAR PHYSICS
PARTICLE PROPERTIES
PHYSICS
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUASI PARTICLES
SCALAR FIELDS
SPIN
WARD IDENTITY