Abstract
The Landau-Khalatnikov-Fradkin transformation is a powerful and elegant transformation allowing us to study the gauge dependence of the propagator of charged particles interacting with gauge fields. With the help of this transformation, we derive a nonperturbative identity between massless propagators in two different gauges. From this identity, we find that the corresponding perturbative series can be exactly expressed in terms of a hatted transcendental basis that eliminates all even -values. This explains the mystery of even -values observed in multiloop calculations of Euclidean massless correlators for almost three decades now. Our construction further allows us to derive an exact formula relating hatted and standard -values to all orders of perturbation theory.
- Received 11 July 2019
DOI:https://doi.org/10.1103/PhysRevD.100.105017
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society