Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics
Mathematical Physics
2008-11-26 v2 High Energy Physics - Theory
math.MP
Abstract
Starting from a formal Hamiltonian as found in the physics literature -- omitting photons -- we define a renormalized Hamiltonian through charge and mass renormalization. We show that the restriction to the one-electron subspace is well-defined. Our construction is non-perturbative and does not use a cut-off. The Hamiltonian is relevant for the description of the Lamb shift in muonic atoms.
Cite
@article{arxiv.math-ph/0303043,
title = {Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics},
author = {Christian Hainzl and Heinz Siedentop},
journal= {arXiv preprint arXiv:math-ph/0303043},
year = {2008}
}
Comments
Reformulation of main theorem, minor changes in the proof