Worldline Green Functions for Arbitrary Feynman Diagrams

Details Worldline Green Functions for Arbitrary Feynman Diagrams Worldline Green Functions for Arbitrary Feynman Diagrams

2006-08-09

arxiv.org/abs/hep-th/0608062v2

Nucl.Phys.B770:107-122,2007

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 6 figures; v2: typos corrected, references added

Scientific paper

10.1016/j.nuclphysb.2007.02.004

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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