On the Fock space for nonrelativistic anyon fields and braided tensor products

Details On the Fock space for nonrelativistic anyon fields and braided tensor products On the Fock space for nonrelativistic anyon fields and braided tensor products

2003-07-17

arxiv.org/abs/hep-th/0307168v2

J.Math.Phys.45:3770-3787,2004

Physics

High Energy Physics

High Energy Physics - Theory

Added some references, more explicit formulae for the discrete case and remark on partition function. 25 pages latex, no figur

Scientific paper

10.1063/1.1787620

We realize the physical N-anyon Hilbert spaces, introduced previously via unitary representations of the group of diffeomorphisms of the plane, as N-fold braided-symmetric tensor products of the 1-particle Hilbert space. This perspective provides a convenient Fock space construction for nonrelativistic anyon quantum fields along the more usual lines of boson and fermion fields, but in a braided category. We see how essential physical information is thus encoded. In particular we show how the algebraic structure of our anyonic Fock space leads to a natural anyonic exclusion principle related to intermediate occupation number statistics, and obtain the partition function for an idealised gas of fixed anyonic vortices.

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