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

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.

10 pages, LaTeX file, A part which requires amsfonts has been replaced by an appropriate one

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Cited by in corpus (7)

• The supersymmetric Ruijsenaars-Schneider model
• Maulik-Okounkov's R-matrix from Ding-Iohara-Miki algebra
• Spin-Ruijsenaars, q-deformed Haldane-Shastry and Macdonald polynomials
• Dynamical Correlation Functions and Finite-size Scaling in Ruijsenaars-Schneider Model
• Elementary Excitations and Dynamical Correlation Functions of the Calogero-Sutherland Model with Internal Symmetry
• Semi-infinite wedges and the conformal limit of the fermionic Calogero-Sutherland Model with spin $\frac{1}{2}$
• Generalized weight functions and the Macdonald polynomials