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
Cited by in corpus (8)
- 5 loops in 24/5 dimensions
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- Quantum mechanical path integrals in the first quantised approach to quantum field theory
- Worldline master formulas for the dressed electron propagator, part 1: Off-shell amplitudes
- The D^6 R^4 term from three loop maximal supergravity
- Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
- Schwinger-type parametrization of open string worldsheets
- Two-loop Yang-Mills diagrams from superstring amplitudes