Jack polynomials with prescribed symmetry and hole propagator of spin Calogero-Sutherland model

Abstract

We study the hole propagator of the Calogero-Sutherland model with SU(2) internal symmetry. We obtain the exact expression for arbitrary non-negative integer coupling parameter $\beta$ and prove the conjecture proposed by one of the authors. Our method is based on the theory of the Jack polynomials with a prescribed symmetry.

12 pages, REVTEX, 1 eps figure

References in corpus (2)

• Orthogonal Polynomials of Types A and B and Related Calogero Models
• Symmetric Jack polynomials from non-symmetric theory

Cited by in corpus (7)

• Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction
• Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field
• Dynamical correlation functions of the spin Calogero-Sutherland model
• On the evaluation formula for Jack polynomials with prescribed symmetry
• Derivation of Green's Function of Spin Calogero-Sutherland Model by Uglov's Method
• Particle Propagator of Spin Calogero-Sutherland Model
• Some Properties of Macdonald Polynomials with Prescribed Symmetry