Landau-Khalatnikov-Fradkin transformation and hatted zeta-values
A.V. Kotikov, S. Teber
TL;DR
This paper derives an exact formula connecting hatted and standard zeta-values across all perturbation orders, based on the Landau-Khalatnikov-Fradkin transformation between gauge-dependent propagators.
Contribution
It presents a novel exact formula linking hatted and standard zeta-values using the LKF transformation, advancing understanding of gauge relations in perturbation theory.
Findings
Derived an exact all-order formula relating zeta-values
Established a connection between gauge-dependent propagators
Enhanced understanding of gauge transformations in quantum field theory
Abstract
We show an exact formula obtained in [1], which relates hatted and standard zeta-values to all orders of perturbation theory. The formula is based on the Landau-Khalatnikov-Fradkin (LKF) transformation between the massless propagators of charged particles interacting with gauge fields, in two different gauges.
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