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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