General covariance, topological quantum field theories and fractional statistics
- Departamento de Fiscia Teorica, Universidad de Zaragoza, Zaragoza 50009 (ES)
Topological quantum field theories and fractional statistics are both defined in multiply connected manifolds. The authors study the relationship between both theories in 2 + 1 dimensions and the authors show that, due to the multiply-connected character of the manifold, the propagator for any quantum (field) theory always contains a first order pole that can be identified with a physical excitation with fractional spin. The article starts by reviewing the definition of general covariance in the Hamiltonian formalism, the gauge-fixing problem and the quantization following the lines of Batalin, Fradkin and Vilkovisky. The BRST-BFV quantization is reviewed in order to understand the topological approach proposed here.
- OSTI ID:
- 5369903
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 7:2; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM FIELD THEORY
MATHEMATICAL MANIFOLDS
EXCITATION
HAMILTONIANS
PROPAGATOR
QUANTIZATION
REVIEWS
SPIN
STATISTICS
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
TRANSFORMATIONS
ANGULAR MOMENTUM
DOCUMENT TYPES
ENERGY-LEVEL TRANSITIONS
FIELD THEORIES
MATHEMATICAL OPERATORS
MATHEMATICS
PARTICLE PROPERTIES
QUANTUM OPERATORS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)