Canonical quantization of (2+1)-dimensional QED with a topological mass term

Journal Article · Sat Aug 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.1737· OSTI ID:7012368

Haller, K; Lim-Lombridas, E ^[1]

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1. Department of Physics, University of Connecticut, Storrs, Connecticut 06269 (United States)

We discuss the canonical quantization of quantum electrodynamics in 2+1 dimensions, with a Chern-Simons topological mass term and gauge-covariant coupling to a Dirac spinor field. A gauge-fixing term is used which generates a canonical momentum for {ital A}{sub 0}, so that there are no primary constraints on operator-valued fields. Gauss's law and the gauge condition {ital A}{sub 0}=0 are implemented by embedding the formulation in an appropriate physical subspace, in which state vectors remain naturally in the course of time evolution. The photon propagator is derived from the canonical theory. The electric and magnetic fields are separated into parts that reflect the presence of massive photons, and other parts that are rigidly attached to charged fermions and do not consist of any observable, propagating particle excitations. The effect of rotations on charged particle states is analyzed, and the relation between the canonical and the Belinfante symmetric'' angular momentum is discussed. It is shown that the rotation operator can be consistently formulated so that charged particles behave like fermions, and do not acquire any arbitrary phases during rotations, even when they are dressed in the electromagnetic fields required for them to obey Gauss's law.

• OSTI ID: 7012368
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662220* -- Quantum Electrodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
CHARGED PARTICLES
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETIC FIELDS
ELECTRON-ELECTRON INTERACTIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GAUSS FUNCTION
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-LEPTON INTERACTIONS
MASS
MASSLESS PARTICLES
MATHEMATICS
MATRICES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PHOTONS
PROPAGATOR
QUANTIZATION
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
S MATRIX
SCATTERING
SPINORS
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
WAVE EQUATIONS