2002/11/30 by Jan Smit, Anders Tranberg · 4 citations
Mathematics · Physics and Astronomy · #Abelian group #Asymmetry #Baryogenesis #Baryon #Baryon asymmetry #Baryon number #Black Holes and Theoretical Physics #Chern–Simons theory #Cosmology and Gravitation Theories #Electroweak interaction #Higgs boson #Higgs field #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Theoretical physics #hep-lat #hep-ph
paper · pdf · doi:10.1088/1126-6708/2002/12/020
published as JHEP 0212 (2002) 020 · 24 pages, 17 figures, added references, published version
openalex publication_date 2002/12/05 · arxiv created 2003/02/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.