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Chern-Simons production during preheating in hybrid inflation models

AuthorsGarcía-Bellido, Juan ; García Pérez, Margarita ; González-Arroyo, Antonio
KeywordsHigh Energy Physics - Phenomenology
High Energy Physics - Lattice
High Energy Physics - Theory
Issue Date16-Sep-2003
PublisherAmerican Physical Society
Phys.Rev. D 69 (2004) 023504
AbstractWe study the onset of symmetry breaking after hybrid inflation in a model having the field content of the SU(2) gauge-scalar sector of the standard model, coupled to a singlet inflaton. This process is studied in (3+1)-dimensions in a fully non-perturbative way with the help of lattice techniques within the classical approximation. We focus on the role played by gauge fields and, in particular, on the generation of Chern-Simons number. Our results are shown to be insensitive to the various cut-offs introduced in our numerical approach. The spectra preserves a large hierarchy between long and short-wavelength modes during the whole period of symmetry breaking and Chern-Simons generation, confirming that the dynamics is driven by the low momentum sector of the theory. We establish that the Chern-Simons production mechanism is associated with local sphaleron-like structures. The corresponding sphaleron rates are of order 10^{-5} m^4, which, within certain scenarios of electroweak baryogenesis and a (not unnaturally large) additional source of CP violation, could explain the present baryon asymmetry of the universe.
DescriptionPACS numbers: 98.80.Cq.-- 28 pages, 15 figures, ReVTeX.-- Submitted on 30 Apr 2003 (v1), last revised 16 Sep 2003 (this version, v2).-- With minor corrections, version to appear in Phys. Rev. D.
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