Expansion in Feynman Graphs as Simplicial String Theory

Details Expansion in Feynman Graphs as Simplicial String Theory Expansion in Feynman Graphs as Simplicial String Theory

2004-07-02

arxiv.org/abs/hep-th/0407018v3

JETP Lett.80:218-225,2004; Pisma Zh.Eksp.Teor.Fiz.80:247-254,2004

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 11pp, Minor mintakes are corrected

Scientific paper

10.1134/1.1813675

We show that the series expansion of quantum field theory in the Feynman diagrams can be explicitly mapped on the partition function of the simplicial string theory -- the theory describing embeddings of the two--dimensional simplicial complexes into the space--time of the field theory. The summation over two--dimensional geometries in this theory is obtained from the summation over the Feynman diagrams and the integration over the Schwinger parameters of the propagators. We discuss the meaning of the obtained relation and derive the one--dimensional analog of the simplicial theory on the example of the free relativistic particle.

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