PARTICLE NUMBER PRODUCTION AND TIME VARIATION WITH NON-EQUILIBRIUM QUANTUM FIELD THEORY
We study the particle number production and its time variation using non-equilibrium quantum eld theory. We study the model proposed by Hotta et.al. [1] for particle number production with a heavy neutral scalar and a light complex scalar. The interaction Lagrangian contains CP violating phase and particle number violating interaction among the scalars. The particle number violating mass term is also introduced, which splits a complex scalar into two real scalars with small non- degenerate mass. Therefore, the term generates particle and anti- particle mixing. We study the long time behavior of the particle number production rate.