The Validity of Dimensional Regularization Method on Fractal Spacetime

Yong Tao

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/308691

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:308691

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