Abstract
We develop a Boltzmann-type quantum transport theory for interacting fermion and scalar fields including both flavour and particle-antiparticle mixing. Our formalism is based on the coherent quasiparticle approximation (cQPA) for the 2-point correlation functions, whose extended phase-space structure contains new spectral shells for flavour- and particle-antiparticle coherence. We derive explicit cQPA propagators and Feynman rules for the transport theory. In particular the nontrivial Wightman functions can be written as composite operators ∼ AF \( \mathcal{A} \), which generalize the usual Kadanoff-Baym ansatz. Our numerical results show that particle-antiparticle coherence can strongly influence CP-violating flavour mixing even for relatively slowly-varying backgrounds. Thus, unlike recently suggested, these correlations cannot be neglected when studying asymmetry generation due to time-varying mass transition, for example in electroweak-type baryogenesis models. Finally, we show that the cQPA coherence solutions are directly related to squeezed states in the more familiar operator formalism.
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ArXiv ePrint: 1108.2309
Alexander-von-Humboldt fellow. (Matti Herranen)
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Fidler, C., Herranen, M., Kainulainen, K. et al. Flavoured quantum Boltzmann equations from cQPA. J. High Energ. Phys. 2012, 65 (2012). https://doi.org/10.1007/JHEP02(2012)065
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DOI: https://doi.org/10.1007/JHEP02(2012)065