The Renormalized Electron Mass in Non-Relativistic Quantum Electrodynamics
| dc.creator | Bach, Volker | |
| dc.creator | Chen, Thomas | |
| dc.creator | Froehlich, Juerg | |
| dc.creator | Sigal, Israel Michael | |
| dc.date | 2005-07-18 | |
| dc.date.accessioned | 2026-07-07T07:42:18Z | |
| dc.date.available | 2026-07-07T07:42:18Z | |
| dc.description | This work addresses the problem of infrared mass renormalization for a scalar electron in a translation-invariant model of non-relativistic QED. We assume that the interaction of the electron with the quantized electromagnetic field comprises a fixed ultraviolet regularization and an infrared regularization parametrized by $σ>0$. For the value $p=0$ of the conserved total momentum of electron and photon field, bounds on the renormalized mass are established which are uniform in $σ\to0$, and the existence of a ground state is proved. For $|p|>0$ sufficiently small, bounds on the renormalized mass are derived for any fixed $σ>0$. A key ingredient of our proofs is the operator-theoretic renormalization group using the isospectral smooth Feshbach map. It provides an explicit, finite algorithm that determines the renormalized electron mass at $p=0$ to any given precision. | |
| dc.description | AMS LaTeX, 101 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0507043 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0507043 | |
| dc.identifier | J. Funct. Anal., 243 (2), 426 - 535 (2007). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122393 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 81T16 | |
| dc.title | The Renormalized Electron Mass in Non-Relativistic Quantum Electrodynamics | |
| dc.type | text |