The Validity of Dimensional Regularization Method on Fractal Spacetime | Zendy

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The Validity of Dimensional Regularization Method on Fractal Spacetime

Author(s) -

Yong Tao

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/308691

Subject(s) - regularization (linguistics) , fractal , spacetime , renormalization , dimensional regularization , mathematics , quantum field theory , fractal derivative , fractal dimension on networks , theoretical physics , mathematical analysis , physics , mathematical physics , fractal dimension , quantum mechanics , fractal analysis , computer science , artificial intelligence

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

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