Cutting rules for strong-field QED are formulated and used to relate higher-loop corrections to trident pair production, yielding a spin-resolved analytical rate expression in constant crossed fields.
A brief Introduction to Dispersion Relations and Analyticity
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abstract
In these lectures we provide a basic introduction into the topic of dispersion relation and analyticity. The properties of 2-point functions are discussed in some detail from the viewpoint of the K\"all\'en-Lehmann and general dispersion relations. The Weinberg sum rules figure as an application. The analytic structure of higher point functions in perturbation theory are analysed through the Landau equations and the Cutkosky rules.
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Lattice fits to gluon gravitational form factors support the sigma meson as dilaton with new predictions for rho and delta, reinforcing evidence for scale symmetry in low-energy QCD.
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Cutting rules in strong field QED with application to trident pair production
Cutting rules for strong-field QED are formulated and used to relate higher-loop corrections to trident pair production, yielding a spin-resolved analytical rate expression in constant crossed fields.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
Lattice fits to gluon gravitational form factors support the sigma meson as dilaton with new predictions for rho and delta, reinforcing evidence for scale symmetry in low-energy QCD.