Fractal Space-Time & the Dynamic Generation of Mass Scales in Field Theory

Abstract

As of today, the mechanism underlying the generation of mass scales in field theory remains elusive. Here we show how the concept of fractal space-time having minimal deviations from four-dimensionality (the so-called minimal fractal manifold defined through ɛ = 4 - D, with ɛ << 1) can naturally account for the onset of these scales. A counterintuitive outcome of this analysis is the deep link between the minimal fractal manifold and the holographic principle.