Tao, Yong The validity of dimensional regularization method on fractal spacetime. (English) Zbl 1397.28003 J. Appl. Math. 2013, Article ID 308691, 9 p. (2013). Summary: K. Snozil [“Quantum field theory on fractal spacetime: a new regularisation method”, J. Phys. A, Math. Gen. 20, No. 12, 3861–3875 (1987; doi:10.1088/0305-4470/20/12/033)] developed a regularization method for quantum field theory on fractal spacetime. 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. MSC: 28A80 Fractals PDFBibTeX XMLCite \textit{Y. Tao}, J. Appl. Math. 2013, Article ID 308691, 9 p. (2013; Zbl 1397.28003) Full Text: DOI