Non-Abelian Chern-Simons Particles in an External Magnetic Field

Details Non-Abelian Chern-Simons Particles in an External Magnetic Field Non-Abelian Chern-Simons Particles in an External Magnetic Field

1999-02-03

arxiv.org/abs/hep-th/9902028v1

Nucl.Phys. B552 (1999) 677-706

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, revtex, 3 eps figures included

Scientific paper

10.1016/S0550-3213(99)00277-1

The quantum mechanics and thermodynamics of SU(2) non-Abelian Chern-Simons particles (non-Abelian anyons) in an external magnetic field are addressed. We derive the N-body Hamiltonian in the (anti-)holomorphic gauge when the Hilbert space is projected onto the lowest Landau level of the magnetic field. In the presence of an additional harmonic potential, the N-body spectrum depends linearly on the coupling (statistics) parameter. We calculate the second virial coefficient and find that in the strong magnetic field limit it develops a step-wise behavior as a function of the statistics parameter, in contrast to the linear dependence in the case of Abelian anyons. For small enough values of the statistics parameter we relate the N-body partition functions in the lowest Landau level to those of SU(2) bosons and find that the cluster (and virial) coefficients dependence on the statistics parameter cancels.

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