Further studies on the smoothed SU(2) gauge configurations

The field variables (FV), the strength tensor (ST) and the topological char ge density (TCD) of lattice SU(2) gauge field are: studied in the momentum space. The evolution behaviors of their Fourier components are monitored du ring the smoothing procedure. The high frequency components of the FV can n ot be eliminated by smoothing, but all the Fourier amplitudes of the ST are uniformly suppressed. The distribution of the TCD in Euclidean spacetime i s highly smoothed. Based on these facts, we give a new interpretation of th e structure of the smoothed gauge configurations and argue that the ultravi olet and infrared cutoff introduced by lattice discretization account for t he suppression of the instanton size distribution at both the large size en d and the: small size end. (C) 2000 Elsevier Science B.V. All rights reserv ed.