Complete Model of Cosmological Evolution of a Classical Scalar Field with the Higgs Potential. I. Analysis of the Model

Abstract

A study and numerical modeling of the cosmological evolution of a classical scalar field with the Higgs potential was carried out. Based on the formulated similarity properties of cosmological models, their main characteristics are studied for models with different interaction scales: the Planck scale, the Grand Unified scale and the Standard Model scale. Based on numerical integration, the similarity properties of these models are proven with high accuracy.