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

Jan Smit·Anders Tranberg
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Abstract

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.

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Jan Smit, Anders Tranberg. 2003-02-12. Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating. https://doi.org/10.1088/1126-6708%2F2002%2F12%2F020

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