Landau-Khalatnikov-Fradkin transformation and hatted $\zeta$-values

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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A.V. Kotikov, S. Teber. Landau-Khalatnikov-Fradkin transformation and hatted $\zeta$-values. International Bogolyubov Conference Problems of Theoretical and Mathematical Physics, Sep 2019, Moscow, Russia. ⟨hal-02440003⟩



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