TL;DR
This paper computes all one-loop gluon propagators in Coulomb gauge, revealing new non-rational functions in finite parts and confirming gauge invariance for gauge-invariant quantities.
Contribution
It provides the complete one-loop propagator results in Coulomb gauge, including finite parts and new functional forms, with revisions to previous work and analysis of high-energy behavior.
Findings
New non-rational functions in finite parts of propagators
Agreement between Coulomb and Feynman gauges for gauge-invariant functions
High-energy behavior of two-point functions analyzed
Abstract
We give the results for all the one-loop propagators, including finite parts, in the Coulomb gauge. In finite parts we find new non-rational functions in addition to the single logarithms of the Feynman gauge. Of course, the two gauges must agree for any gauge invariant function. We revise the manuscript hep-th/0311118v2 and Eur.Phys.J.C37, 307-313(2004) in accordance with the notation and correct Feynman rules for the Coulomb gauge in Minkowski space found in [16]. The high-energy behaviour of the proper two-point functions is added in Appendix C.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.