Fluctuations from dissipation in a hot non-Abelian plasma - art. no. 125004

We consider a transport equation cf the Boltzmann-Langevin type for non-Abe lian plasmas close to equilibrium to derive the spectral functions of the u nderlying microscopic fluctuations from the entropy. The correlator of the stochastic source is obtained from the dissipative processes in the plasma. This approach, based on classical transport theory, exploits the well-know n link between a linearized collision integral, the entropy and the spectra l functions. Applied to the ultra-soft modes of a hot non-Abelian (classica l or quantum) plasma, the resulting spectral functions agree with earlier f indings obtained from the microscopic theory. As a by-product, it follows t hat Bodeker's effective theory is consistent with the fluctuation-dissipati on theorem.