The validity of dimensional regularization method on fractal spacetime

Svozil developed a regularization method for quantum field theory on fractal spacetime (1987). such a method can be applied to the low-order perturbative renormalization of quantum electrodynamics but will depend on a conjectural integral formula on non-integer-dimensional topological spaces. the main purpose of this paper is to construct a fractal measure so as to guarantee the validity of the conjectural integral formula. © 2013 yong tao.