München 2019 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantenfeldtheorie

MP 3.3: Vortrag

Montag, 18. März 2019, 18:30–18:50, HS 23

Asymptotic constants of motion for the Maxwell-Newton system — Wojciech Dybalski¹ and •Duc Viet Hoang² — ¹TUM, Munich, Germany — ²LMU, Munich, Germany

We consider the model of extended charges in interaction with the classical electromagnetic field. In this approach, we couple the Maxwell equations with Newton’s equation to study the dynamics of charges. Relying on the work of Spohn et al. on this system of differential equations, we found asymptotic constants of motion of the form lim_|x|→∞x²E(x,t) and lim_|k|→0|k|Ê(k,t), where E and Ê are the electric field and its Fourier transform, respectively. This gives a rigorous proof of conservation of the spacelike asymptotic flux of the electric field, which is relevant for infrared problems. Perspectives for proving soft-photon theorems for the Maxwell-Newton system will also be discussed.