GAUGE FLUCTUATIONS DUE TO DILUTE SKYRMIONS IN THE QUANTUM HALL STATE

We investigate physical properties in the low-density limit of skyrmio n excitations in the system at the Landau level filling factor nu = 1/ odd. We derive the spin susceptibility and the effective interaction b etween skyrmions beyond the mean field (saddle-point) approximation, O ur approach consistently reproduces the spin susceptibility with the m aximum structure at a finite temperature. We also And that the interac tion is screened by thermally activated skyrmion-antiskyrmion pairs, w hose spectra are concentrated in the low frequency regime around omega = Gamma(q) similar to q(2), where Gamma(q) is the relaxation rate. It is shown that the skyrmion excitations reduce the magnetization and t hat the amount of the reduction in the magnetization due to the skyrmi on excitations becomes small when we introduce the interaction between skyrmions.