Relativistic generalization of the rational Calogero model

Abstract

A relativistic generalization of the rational Calogero model is obtained by using the deformation of a gauging matrix system with extra semi-dynamical variables. The Hamiltonian of this system is derived by imposing the gauge fixing conditions and eliminating gauge degrees of freedom. The integrability of the proposed relativistic model is proved.

1+10 pages, v2: minor revision, references added, accepted for publication; v3: typos corrected

References in corpus (6)

• Physics and Mathematics of Calogero particles
• Supersymmetric Calogero models by gauging
• Supersymmetric hyperbolic Calogero-Sutherland models by gauging
• Ruijsenaars-Schneider three-body models with N=2 supersymmetry
• On $\mathcal{N}=2$ supersymmetric Ruijsenaars-Schneider models
• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model