Worldline Green Functions for Arbitrary Feynman Diagrams
arXiv:hep-th/0608062 · doi:10.1016/j.nuclphysb.2007.02.004
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.
20 pages, 6 figures; v2: typos corrected, references added