Dynamical correlation functions and finite-size scaling in the Ruij senaars-Schneider model Original Research Article

The trigonometric Ruijsenaars-Schneider model is diagonalized by means of the Macdonald symmetric functions. We evaluate the dynamical density-density correlation function and the one-particle retarded Green function as well as their thermodynamic limit. Based on these results and finite-size scaling analysis, we show that the low-energy behavior of the model is described by the C = 1 Gaussian conformal field theory under a new fractional selection rule for the quantum numbers labefing the critical exponents.