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Journal of Applied Mathematics
Volume 2013, Article ID 308691, 9 pages
Research Article

The Validity of Dimensional Regularization Method on Fractal Spacetime

School of Economics and Business Administration, Chongqing University, Chongqing 400044, China

Received 17 October 2013; Accepted 8 December 2013

Academic Editor: Fernando Simões

Copyright © 2013 Yong Tao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.