Real time simulations and the electroweak phase transition

We review recent developments in real-time simulations of SU(2)-Higgs theory near the electroweak transition and related topics.Comment: 6 pages, latex, 4 figures; to appear in the proceedings of LATTICE '9

Cold Electroweak Baryogenesis

We present arguments that the CKM CP-violation in the standard model may be sufficient for the generation of the baryon asymmetry, if the electroweak transition in the early universe was of the cold, tachyonic, type after electroweak-scale inflation. A model implementing this is described which complies with the CMB constraints and which is falsifiable with the LHC. Numerical simulations of the tachyonic transition with an effective CP-bias indicate that the observed baryon asymmetry can be generated this way.Comment: 10 pages, 4 figures, presented at Strong and ElectroWeak Matter 200

Simulations of Cold Electroweak Baryogenesis: Dependence on Higgs mass and strength of CP-violation

Cold electroweak baryogenesis was proposed as a scenario to bypass generic problems of electroweak baryogenesis within the Standard Model. In this scenario, baryogenesis takes place during an electroweak symmetry breaking transition, which is also responsible for preheating after inflation. In the simplest modelling of the scenario, only two parameters remain undetermined: The Higgs mass and the strength of CP violation. Using full real-time lattice simulations, we compute the dependence of the asymmetry on these parameters.Comment: 14 pages, 13 figure

No strong coupling regime in the fermion-Higgs sector of the standard model

We present results for the renormalized quartic self-coupling \lm_R and the renormalized Yukawa coupling $y_R$ in a fermion-Higgs model with two SU(2) doublets, indicating that these couplings are not very strong.Comment: 4 pages, 4 postscript figures (appended), ITFA-92-32, HLRZ-92-92, UCSD/PTH 92-43, Contribution to the Conference Lattice'9

Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating

We consider the creation of non-zero Chern-Simons number in a model of the early Universe, where the Higgs field experiences a fast quench at the end of inflation and subsequently rolls down its potential barrier. Neglecting the expansion, we perform numerical lattice simulations in the Abelian Higgs model in 1+1 dimensions with an added phenomenological C and P violating term during this stage of so-called tachyonic preheating. The results suggest that even the sign of the Chern-Simons and thus baryon number is dependent on the ratio of the Higgs to W mass. We also discuss the appropriate choice of vacuum initial conditions for classical simulations.Comment: 24 pages, 17 figures, added references, published versio

Chiral gauge theories on the lattice and restoration of gauge symmetry

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at a dynamical restoration of the gauge invariance in the full quantum model. If the gauge symmetry breaking (SB) is not too severe, this procedure could lead in the continuum limit to the desired gauge invariant chiral gauge theory.Comment: 3 pages, 2 postscript files appended (uuencoded), contribution to Lattice'93, ITFA 93-32, UCSD/PTH 93-3

Sphaleron rate at high temperature in 1+1 dimensions

We resolve the controversy in the high temperature behavior of the sphaleron rate in the abelian Higgs model in 1+1 dimensions. The $T^2$ behavior at intermediate lattice spacings is found to change into $T^{2/3}$ behavior in the continuum limit. The results are supported by analytic arguments that the classical approximation is good for this model.Comment: LATTICE98(electroweak