Semiclassical force for electroweak baryogenesis: three-dimensional derivation
Abstract
We derive a semiclassical transport equation for fermions propagating in the presence of a CP-violating planar bubble wall at a first order electroweak phase transition. Starting from the Kadanoff-Baym (KB) equation for the two-point (Wightman) function we perform an expansion in gradients, or equivalently in the Planck constant h-bar. We show that to first order in h-bar the KB equations have a spectral solution, which allows for an on-shell description of the plasma excitations. The CP-violating force acting on these excitations is found to be enhanced by a boost factor in comparison with the 1+1-dimensional case studied in a former paper. We find that an identical semiclassical force can be obtained by the WKB method. Applications to the MSSM are also mentioned.
Cite
@article{arxiv.hep-ph/0202177,
title = {Semiclassical force for electroweak baryogenesis: three-dimensional derivation},
author = {Kimmo Kainulainen and Tomislav Prokopec and Michael G. Schmidt and Steffen Weinstock},
journal= {arXiv preprint arXiv:hep-ph/0202177},
year = {2014}
}
Comments
19 pages