Fractal Propagators and the Asymptotic Sectors of Quantum Field Theory

Abstract

Propagators for charged fermions no longer follow the prescription of perturbative quantum field theory in the deep infrared (IR) and ultraviolet (UV) sectors of particle physics. They acquire a fractal structure from radiative corrections contributed by gauge bosons. Here we show how fractal propagators in QFT may be analyzed using fractional field theory on space-times having minimal deviations from four-dimensionality (D = 4 - e, e << 1).  An intriguing consequence of this approach is the emergence of classical gravity as long-range and ultra-weak excitation of the Higgs condensate.