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
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References
For more detailed reviews of background material, see G. A. Goldin and D. H. Sharp, Diffeomorphism groups and local symmetries: Some applications in quantum physics, in: “Symmetries in Science III”, B. Gruber, F. Iachello, eds., Plenum, New York, p. 181 (1989)
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© 1995 Springer Science+Business Media New York
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Goldin, G.A., Sharp, D.H. (1995). Diffeomorphism Groups and Anyon Fields. In: Antoine, JP., Ali, S.T., Lisiecki, W., Mladenov, I.M., Odzijewicz, A. (eds) Quantization, Coherent States, and Complex Structures. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1060-8_5
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DOI: https://doi.org/10.1007/978-1-4899-1060-8_5
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