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Diffeomorphism Groups and Anyon Fields

In: Quantization, Coherent States, and Complex Structures

Author

Listed:
  • Gerald A. Goldin

    (Rutgers University, Departments of Mathematics and Physics)

  • David H. Sharp

    (Los Alamos National Laboratory, Theoretical Division)

Abstract

We make use of unitary representations of the group of diffeomorphisms of the plane to construct an explicit field theory of anyons. The resulting anyon fields satisfy q-commutators, where q is the well-known phase shift associated with a single counterclockwise exchange of a pair of anyons. Our method uses a realization of the braid group by means of paths in the plane, that transform naturally under diffeomorphisms of R 2

Suggested Citation

  • Gerald A. Goldin & David H. Sharp, 1995. "Diffeomorphism Groups and Anyon Fields," Springer Books, in: J.-P. Antoine & S. Twareque Ali & W. Lisiecki & I. M. Mladenov & A. Odzijewicz (ed.), Quantization, Coherent States, and Complex Structures, pages 43-54, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1060-8_5
    DOI: 10.1007/978-1-4899-1060-8_5
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