2001/08/30 by Giampiero Passarino, G. Passarino, Passarino, G. · 1 citation
Chemistry · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #History and advancements in chemistry #Quantum Mechanics and Applications #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0108254
10 pages(Latex)
arxiv created 2001/08/30 · openalex publication_date 2001/08/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The prospect of a time-dependent Higgs vacuum expectation value is examined within the standard model of electroweak interactions. It is shown that the classical equation of motion for the Higgs field admits a solution that is a doubly-periodic function of time. The corresponding Dirac equation for the electron field is equivalent to a second order differential equation with doubly-periodic coefficients. In the limit of very large primitive period of the Higgs background this equation can be solved in WKBJ approximation, showing plane-wave solutions with a time-dependent distortion factor which can be made arbitrarily small.