Quantum Description of Anyons: Role of Contact Terms

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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27 pages and 7 figures

Scientific paper

10.1103/PhysRevD.55.2227

We make an all-order analysis to establish the precise correspondence between nonrelativistic Chern-Simons quantum field theory and an appropriate first-quantized description. Physical role of the field-theoretic contact term in the context of renormalized perturbation theory is clarifed through their connection to self-adjoint extension of the Hamiltonian in the first-quantized approach. Our analysis provides a firm theoretical foundation on quantum field theories of nonrelativistic anyons.

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