Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations

DOI10.1090/memo/0606zbMath0892.35147arXivhep-th/9502061OpenAlexW2011483371MaRDI QIDQ4339905

Moshé Flato, Erik Taflin, Jacques C. H. Simon

Publication date: 27 July 1997

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9502061

zbMATH Keywords

Cauchy problemexistence of global solutionscohomological interpretationcovariant Maxwell-Dirac equationsdeformation-quantization approachinfrared tail of the electronnonlinear Lie algebra representation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Second-order nonlinear hyperbolic equations (35L70) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Electromagnetic interaction; quantum electrodynamics (81V10) Applications of Lie groups to the sciences; explicit representations (22E70) PDEs in connection with relativity and gravitational theory (35Q75) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

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