Semiclassical transport of particles with dynamical spectral functions

The strangeness magnetic moment of the proton is shown to be small in the chiral quark model. The dominant loop contribution is due to kaons. The K loop contributions are proportional to the difference between the strange and light constituent quark masses or m^-2(K) and therefore small. The loop fluctuations that involve radiative transitions between K mesons and kaons are small, when the cutoff scale in the loops is taken to be close to the chiral symmetry restoration scale. The net loop amplitude contribution to the strangeness magnetic moment of the proton is about - 0.05, which falls within the uncertainty range of the experimental value.