Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations
| dc.creator | Flato, Moshe | |
| dc.creator | Simon, Jacques C. H. | |
| dc.creator | Taflin, Erik | |
| dc.date | 1995-02-10 | |
| dc.date.accessioned | 2026-07-07T09:14:29Z | |
| dc.date.available | 2026-07-07T09:14:29Z | |
| dc.description | In this monograph we prove that the nonlinear Lie algebra representation given by the manifestly covariant Maxwell-Dirac (M-D) equations is integrable to a global nonlinear representation $U$ of the Poincaré group ${\cal P}_0$ on a differentiable manifold ${\cal U}_\infty$ of small initial conditions for the M-D equations. This solves, in particular, the Cauchy problem for the M-D equations, namely existence of global solutions for initial data in ${\cal U}_\infty$ at $t=0$. The existence of modified wave operators $Ω_+$ and $Ω_-$ and asymptotic completeness is proved. The asymptotic representations $U^{(ε)}_g = Ω^{-1}_ε\circ U_g \circ Ω_ε$, $ε= \pm$, $g \in {\cal P}_0$, turn out to be nonlinear. A cohomological interpretation of the results in the spirit of nonlinear representation theory and its connection to the infrared tail of the electron is given. | |
| dc.description | plain TeX with amssym and a few macros, 308 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9502061 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9502061 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152689 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Analysis of PDEs | |
| dc.title | Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations | |
| dc.type | text |