Semiclassical force for electroweak baryogenesis: three-dimensional derivation

Details Semiclassical force for electroweak baryogenesis: three-dimensional derivation Semiclassical force for electroweak baryogenesis: three-dimensional derivation

2002-02-19

arxiv.org/abs/hep-ph/0202177v1

Phys.Rev. D66 (2002) 043502

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages

Scientific paper

10.1103/PhysRevD.66.043502

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.

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