Mass Renormalization and Energy Level Shift in Non-Relativistic QED
| dc.creator | Hainzl, Christian | |
| dc.creator | Seiringer, Robert | |
| dc.date | 2002-05-29 | |
| dc.date | 2003-12-27 | |
| dc.date.accessioned | 2026-07-07T04:29:13Z | |
| dc.date.available | 2026-07-07T04:29:13Z | |
| dc.description | Using the Pauli-Fierz model of non-relativistic quantum electrodynamics, we calculate the binding energy of an electron in the field of a nucleus of charge $Z$ and in presence of the quantized radiation field. We consider the case of small coupling constant $α$, but fixed $Zα$ and ultraviolet cut-off $Λ$. We prove that after renormalizing the mass the binding energy has, to leading order in $α$, a finite limit as $Λ$ goes to infinity; i.e., the cut-off can be removed. The expression for the ground state energy shift thus obtained agrees with Bethe's formula for small values of $Zα$, but shows a different behavior for bigger values. | |
| dc.description | amslatex, 22 pages; to appear in Adv. Theor. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/math-ph/0205044 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0205044 | |
| dc.identifier | Adv. Theor. Math. Phys. 6, 847 (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57076 | |
| dc.subject | Mathematical Physics | |
| dc.title | Mass Renormalization and Energy Level Shift in Non-Relativistic QED | |
| dc.type | text |