eprintid: 2523
rev_number: 8
eprint_status: archive
userid: 1
dir: disk0/00/00/25/23
datestamp: 2002-08-08 00:00:00
lastmod: 2014-04-03 12:13:44
status_changed: 2012-08-14 15:05:20
type: doctoralThesis
metadata_visibility: show
creators_name: Weinstock, Steffen M.
title: Controlled derivation of semiclassical transport equations for electroweak baryogenesis
title_de: Ableitung semiklassischer Transportgleichungen für elektroschwache Baryogenese
ispublished: pub
subjects: ddc-530
divisions: i-130300
adv_faculty: af-13
keywords: elektroschwacher Phasenübergang , Baryogenesebaryogenesis , electroweak phase transition , semiclassical transport equations
cterms_swd: Baryonasymmetrie
cterms_swd: Transportgleichung
abstract_translated_text: In this work we study a basic ingredient for the description of baryogenesis at the electroweak phase transition: we provide a controlled derivation of semiclassical transport equations for CP-violating flows for a system of scalar and fermionic fields in the presence of a slowly varying background field. This is the situation in a first order electroweak phase transition, where the background is given by the vacuum expectation value of the Higgs field that varies inside the phase transition front. Starting from the exact equations of motion for the Wigner functions in the Schwinger-Keldysh formalism we perform a systematic expansion in orders of gradients of the background field, including the collision term. This expansion is equivalent to an expansion in powers of the Planck constant $hbar$, and by keeping all terms up to first order in $hbar$ we obtain semiclassical transport equations that are adequate for the description of CP-violation. We find that for both scalar and fermionic fields the equations have a spectral solution which allow for an on-shell description of the plasma excitations. The transport equation for the scalar particles turns out to be a usual classical Boltzmann equation. In the fermionic equations we find quantum corrections that give rise to sources for baryogenesis.
abstract_translated_lang: eng
class_scheme: pacs
class_labels: 98.80.Cq, 11.10.Wx
date: 2002
date_type: published
id_scheme: DOI
id_number: 10.11588/heidok.00002523
ppn_swb: 1643333240
own_urn: urn:nbn:de:bsz:16-opus-25232
date_accepted: 2002-07-03
advisor: HASH(0x55d997cf7e18)
language: eng
bibsort: WEINSTOCKSCONTROLLED2002
full_text_status: public
citation:   Weinstock, Steffen M.  (2002) Controlled derivation of semiclassical transport equations for electroweak baryogenesis.  [Dissertation]     
document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/2523/1/diss.pdf