Landau-Khalatnikov-Fradkin Transformation and Even zeta Functions
A.V. Kotikov, S. Teber
TL;DR
This paper presents an exact formula connecting standard and hatted zeta functions across all perturbation theory orders, based on the Landau-Khalatnikov-Fradkin transformation, advancing understanding of zeta functions in quantum field theory.
Contribution
It introduces a universal formula linking zeta functions and their modified versions using the Landau-Khalatnikov-Fradkin transformation, applicable at all perturbation levels.
Findings
Derived an exact relation between zeta functions and hatted zeta functions.
Established the formula's validity across all orders of perturbation theory.
Provides new insights into the structure of zeta functions in quantum field calculations.
Abstract
An exact formula that relates standard zeta functions and so-called hatted zeta functions in all orders of perturbation theory is presented. This formula is based on the Landau-Khalatnikov-Fradkin transformation
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