Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-08-04
J.Phys. A29 (1996) L191-L198
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, LaTeX file, A part which requires amsfonts has been replaced by an appropriate one
Scientific paper
10.1088/0305-4470/29/8/003
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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