Three-point Green function of massless QED in position space to lowest order
Indrajit Mitra
TL;DR
This paper derives the lowest-order transverse three-point Green function of massless QED in position space, establishing a relation similar to the star-triangle relation and connecting it to conformal invariance.
Contribution
It provides the explicit form of the transverse part of the three-point Green function in position space and relates it to conformal-invariant functions, extending previous work on the longitudinal part.
Findings
Derived the transverse three-point Green function in position space.
Established a relation analogous to the star-triangle relation.
Connected the results to conformal-invariant three-point functions.
Abstract
The transverse part of the three-point Green function of massless QED is determined to the lowest order in position space. Taken together with the evaluation of the longitudinal part in arXiv:0803.2630, this gives a relation for QED which is analogous to the star-triangle relation. We relate our result to conformal-invariant three-point functions.
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