Dynamical correlation functions in the Calogero-Sutherland model
نویسندگان
چکیده
منابع مشابه
Dynamical correlation functions of the spin Calogero-Sutherland model
The thermodynamic limit of the dynamical density and spin-density two-point correlation functions for the spin Calogero-Sutherland model are derived from Uglov’s finite-size results. The resultant formula for the density two-point correlation function is consistent with the previous conjecture on the basis of the minimal number of elementary excitations. CREST researcher: Japan Science and Tech...
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Using arguments from two dimensional Yang-Mills theory and the collective coordinate formulation of the Calogero-Sutherland model, we conjecture the dynamical density correlation function for coupling l and 1/l, where l is an integer. We present overwhelming evidence that the conjecture is indeed correct. Submitted to Physical Review B, PACS numbers: 03.65.Ca, 05.30.Fk, 03.65.Fd ⋆ minahan@physi...
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We consider the physical properties of elementary excitations of the CalogeroSutherland (CS) model with SU(K) internal symmetry. From the results on the thermodynamics of this model, we obtain the charge, spin, and statistics of elementary excitations. Combining this knowledge and the known results on the dynamics in the spinless CS model, we propose the expression for the dynamical correlation...
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Spin generalization of the relativistic Calogero-Sutherland model is constructed by using the affine Hecke algebra and shown to possess the quantum affine symmetry Uq(ĝl2). 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 investigat...
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One-dimensional (1D) model of non-relativistic particles with inverse-square interaction potential known as Calogero-Sutherland Model (CSM) is shown to possess fractional statistics. Using the theory of Jack symmetric polynomial the exact dynamical density-density correlation function and the one-particle Green’s function (hole propagator) at any rational interaction coupling constant λ = p/q a...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1995
ISSN: 0550-3213
DOI: 10.1016/0550-3213(94)00453-l