Speaker
Description
The Landau-Khalatnikov-Fradkin transformations (LKFTs) allow to
interpolate $n$-point functions between different gauges. We first
offer an alternative derivation of these LKFTs for the gauge and
fermions field in the Abelian (QED) case when working in the class
of linear covariant gauges. Our derivation is based on the
introduction of a gauge invariant transversal gauge field, which
allows a natural generalization to the non-Abelian (QCD) case of
the LKFTs. To our knowledge, within this rigorous
formalism, this is the first construction of the LKFTs beyond
QED. The renormalizability of our setup is guaranteed to all
orders. We also offer a direct path integral derivation in the
non-Abelian case, finding full consistency.