Worldline Green Functions for Arbitrary Feynman Diagrams

Peng Dai; Warren Siegel

doi:10.1016/j.nuclphysb.2007.02.004

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arXiv · hep-th/0608062

Worldline Green Functions for Arbitrary Feynman Diagrams

Peng Dai·Warren Siegel

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Abstract

We propose a general method to obtain the scalar worldline Green function on an arbitrary 1D topological space, with which the first-quantized method of evaluating 1-loop Feynman diagrams can be generalized to calculate arbitrary ones. The electric analog of the worldline Green function problem is found and a compact expression for the worldline Green function is given, which has similar structure to the 2D bosonic Green function of the closed bosonic string.

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Peng Dai, Warren Siegel. 2007-02-01. Worldline Green Functions for Arbitrary Feynman Diagrams. https://doi.org/10.1016/j.nuclphysb.2007.02.004

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