2004/09/30 by A. Arrizabalaga, Alejandro Arrizabalaga, Jan Smit +1 · 111 citations
Mathematics · Physics and Astronomy · #Action (physics) #Baryogenesis #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Equations of motion #Geometry #Higgs boson #Lattice (music) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Quenched approximation #Scalar (mathematics) #Scalar field #hep-ph
paper · pdf · doi:10.1088/1126-6708/2004/10/017
published in Journal of High Energy Physics 2004(10), 017 (Springer Nature) · 32 pages, 21 figures. Published version: Some details added, section added, references added, conclusions unchanged
openalex publication_date 2004/10/07 · arxiv created 2004/11/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We study the process of tachyonic preheating using approximative quantum equations of motion derived from the 2PI effective action. The O(N) scalar (Higgs) field is assumed to experience a fast quench which is represented by an instantaneous flip of the sign of the mass parameter. The equations of motion are solved numerically on the lattice, and the Hartree and 1/N-NLO approximations are compared to the classical approximation. Classical dynamics is expected to be valid, since the occupation numbers can rise to large values during tachyonic preheating. We find that the classical approximation performs excellently at short and intermediate times, even for couplings in the larger region currently allowed for the SM Higgs. This is reassuring, since all previous numerical studies of tachyonic preheating and baryogenesis during tachyonic preheating have used classical dynamics. We also compare different initializations for the classical simulations.