Dimensional Regularization & Fractal Spacetime

Abstract

Relativistic Quantum Field Theory (QFT) develops divergences caused by perturbative corrections to Feynman diagrams. Dimensional Regularization (DR) is a technique that isolates divergences using analytic continuation to non-integer dimensions. In this introductory tutorial we argue that DR provides an alternative mechanism for mass generation in particle physics. This mechanism reconciles the Higgs model of electroweak symmetry breaking with the minimal fractal topology of spacetime above the Fermi scale. Mass predictions agree reasonably well with experimental data.