Anyonic behavior of quantum group gases

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX file, 19 pages, two figures ,uses epsf.sty

Scientific paper

10.1103/PhysRevE.55.291

We first introduce and discuss the formalism of $SU_q(N)$-bosons and fermions and consider the simplest Hamiltonian involving these operators. We then calculate the grand partition function for these models and study the high temperature (low density) case of the corresponding gases for $N=2$. We show that quantum group gases exhibit anyonic behavior in $D=2$ and $D=3$ spatial dimensions. In particular, for a $SU_q(2)$ boson gas at $D=2$ the parameter $q$ interpolates within a wider range of attractive and repulsive systems than the anyon statistical parameter.

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