Expansion in Feynman Graphs as Simplicial String Theory

Abstract

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.

arXiv commentLatex, 11pp, Minor mintakes are corrected

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• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• A remark on the AdS/CFT correspondence and the renormalization group flow
• Multi-loop Feynman integrals and conformal quantum mechanics

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