# Exact solution of the Dirac equation with CP violation

@article{Prokopec2013ExactSO, title={Exact solution of the Dirac equation with CP violation}, author={Tomislav Prokopec and Michael G. Schmidt and Jan Weenink}, journal={Physical Review D}, year={2013}, volume={87}, pages={083508} }

We consider Yukawa theory in which the fermion mass is induced by a Higgs like scalar. In our model the fermion mass exhibits a temporal dependence, which naturally occurs in the early Universe setting. Assuming that the complex fermion mass changes as a tanh-kink, we construct an exact, helicity conserving, CP-violating solution for the positive and negative frequency fermionic mode functions, which is valid both in the case of weak and strong CP violation. Using this solution we then study…

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