A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics
| dc.creator | Lieb, Elliott H. | |
| dc.creator | Loss, Michael | |
| dc.date | 2001-10-22 | |
| dc.date | 2002-04-05 | |
| dc.date.accessioned | 2026-07-07T04:28:42Z | |
| dc.date.available | 2026-07-07T04:28:42Z | |
| dc.description | We study three well known models of matter coupled to the ultraviolet cutoff, quantized radiation field and to the Coulomb potential of arbitrarily many nuclei. Two are nonrelativistic: the first uses the kinetic energy (p+eA(x))^2 and the second uses the Pauli-Fierz energy (p+eA(x))^2 +eσ\cdot B(x). The third, no-pair model, is relativistic and replaces the kinetic energy with the Dirac operator D(A), but restricted to its positive spectral subspace, which is the ``electron subspace''. In each case we are able to give an upper bound to the {\it binding} energy -- as distinct from the less difficult ground state energy. This implies, for the first time we believe, an estimate, albeit a crude one, of the mass renormalization in these theories. | |
| dc.description | 10 pages, LaTex. Referee comments, some stylistic changes, and some clarifying remarks at the end of Sect. 2 added. To appear in J. Stat. Phys | |
| dc.identifier | https://arxiv.org/abs/math-ph/0110027 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0110027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56886 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics | |
| dc.type | text |