On the Nonintegrable Regime of Particle Physics

Abstract

Recent research points out that the unavoidable approach to Hamiltonian chaos well above the Fermi scale leads to a spacetime having continuous (fractal) dimensions. Here we analyze a toy model of inflationary Universe comprising of a Higgs-like scalar in interaction with a pair of vector bosons. The model is manifestly nonintegrable as it breaks the perturbative unitarity of scattering processes and evolves towards Hamiltonian chaos and fractal spacetime.