Quantum coherence in relativistic transport theory : applications to baryogenesis
Julkaistu sarjassa
JYU dissertationsTekijät
Päivämäärä
2022Tekijänoikeudet
© The Author & University of Jyväskylä
We derive field-theoretic local quantum transport equations which can describe
quantum coherence. Our methods are based on Kadanoff–Baym equations derived
in the Schwinger–Keldysh closed time path formalism of non-equilibrium quantum
field theory. We focus on spatially homogeneous and isotropic systems and mixing
fermions with a time-dependent mass and a weak coupling to a thermal plasma.
We introduce a new local approximation (LA) method and use it to derive
quantum kinetic equations which can describe coherence and also include effects of
the spectral width. The method is based on a local ansatz of the collision term. We
also improve the earlier coherent quasiparticle approximation (cQPA) by giving a
straightforward derivation of the spectral ansatz, a new way of organizing the gradient
expansion, and a transparent way to derive the coherence-gradient resummed collision
term. In both methods the transport equations can describe flavor coherence and
particle–antiparticle coherence, and the related oscillations, of the mixing fermions.
In addition to formulating the local equations we apply them to baryogenesis
in the early universe. More specifically, we study the details of CP-asymmetry
generation in resonant leptogenesis and the evolution of the axial vector current in
electroweak baryogenesis (in a time-dependent analogue). We solve the equations
numerically, and perform extensive analysis and compare the results to semiclassical
(Boltzmann) equations. The results cover known semiclassical effects. We find
that dynamical treatment of local quantum coherence is necessary for an accurate
description of CP-asymmetry generation. When these details are known they can
then be partially incorporated into simpler (e.g. semiclassical) approaches. However,
coherent quantum kinetic equations are needed for accurate results across different
scenarios or wide parameter ranges.
...
Julkaisija
Jyväskylän yliopistoISBN
978-951-39-9190-6ISSN Hae Julkaisufoorumista
2489-9003Julkaisuun sisältyy osajulkaisuja
- Artikkeli I: Jukkala, H., Kainulainen, K., & Koskivaara, O. (2020). Quantum transport and the phase space structure of the Wightman functions. Journal of High Energy Physics, 2020(1), Article 12. DOI: 10.1007/JHEP01(2020)012
- Artikkeli II: Jukkala, H., Kainulainen, K., & Rahkila, P. M. (2021). Flavour mixing transport theory and resonant leptogenesis. Journal of High Energy Physics, 2021(9), Article 119. DOI: 10.1007/jhep09(2021)119
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