PARTICLE IN A RANDOM MAGNETIC-FIELD ON A PLANE

We study the properties of a two-dimensional spinless particle moving in a random magnetic field. This problem arises in the context of a mo dern theory of strongly correlated systems as well as in the theory of vortex-lines dynamics in high-T(c) materials. The problem is investig ated with a variety of methods including direct perturbation theory, q uasiclassical approximation, the method of an optimal fluctuation, and Monte Carlo simulations. We obtain a shape of the density of states n ear the unrenormalized lower boundary of the spectrum, a particle mobi lity, and its diamagnetic orbital susceptibility.