Relativistic wave equation for anyons

Journal Article · Fri Mar 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1933· OSTI ID:5621766

Jackiw, R ^[1]; Nair, V P ^[2]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science (USA) Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (USA)
2. Physics Department, Columbia University, 538 West 120th Street, New York, New York 10027 (USA)

Construction of one-particle states as unitary representations of the Poincare algebra in 2+1 dimensions shows that an anyon has one polarization state. However, for nonzero spin manifestly linear and covariant realizations of Lorentz transformations require more than one field component, and an infinite number is needed when the value of spin is not an integer or half-integer. We discuss the relation between these two aspects of Poincare symmetry. In particular, we construct a relativistic equation for anyons where the number of physical polarizations is reduced to one by virtue of a gauge symmetry or equivalent constraint.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 5621766
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:6; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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645400 -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
LIE GROUPS
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTICLE STRUCTURE
POINCARE GROUPS
POLARIZATION
RELATIVITY THEORY
SIGMA MODEL
SPACE-TIME
SPIN
SYMMETRY
SYMMETRY GROUPS
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
WAVE EQUATIONS