Diffeomorphism Groups and Anyon Fields

Gerald A. Goldin and David H. Sharp
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Gerald A. Goldin: Rutgers University, Departments of Mathematics and Physics
David H. Sharp: Los Alamos National Laboratory, Theoretical Division

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 43-54 from Springer

Abstract: 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

Keywords: Homotopy Class; Braid Group; Covering Space; Semi Direct Product; Diffeomorphism Group (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_5

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DOI: 10.1007/978-1-4899-1060-8_5

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