Quantum corrections to leptogenesis from the gradient expansion

Using the closed-time-path formalism we quantify gradient corrections to the kinetic equations for leptogenesis, that are neglected in the standard Boltzmann approach. In particular we show that an additional CP-violating source term arises, which is non-zero even when all species are in local thermal equilibrium. In the early universe it is proportional to the expansion rate and would vanish for static equilibrium configurations, in accordance with the Sakharov conditions. We find that for thermal leptogenesis in a standard cosmological background the additional source term is small. However, it can become the dominant source in the limit of ultra-strong washout.