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arXiv · hep-th/9508016

Relativistic Calogero-Sutherland Model: Spin Generalization, Quantum Affine Symmetry and Dynamical Correlation Functions

Hitoshi Konno
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Abstract

Spin generalization of the relativistic Calogero-Sutherland model is constructed by using the affine Hecke algebra and shown to possess the quantum affine symmetry $\uqglt$. The spin-less model is exactly diagonalized by means of the Macdonald symmetric polynomials. The dynamical density-density correlation function as well as one-particle Green function are evaluated exactly. We also investigate the finite-size scaling of the model and show that the low-energy behavior is described by the $C=1$ Gaussian theory. The results indicate that the excitations obey the fractional exclusion statistics and exhibit the Tomonaga-Luttinger liquid behavior as well.

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Hitoshi Konno. 1995-08-12. Relativistic Calogero-Sutherland Model: Spin Generalization, Quantum Affine Symmetry and Dynamical Correlation Functions. https://doi.org/10.1088/0305-4470%2F29%2F8%2F003

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