Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics

Details Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics

2003-03-18

arxiv.org/abs/math-ph/0303043v2

Commun.Math.Phys.243:241-260,2003

Physics

Mathematical Physics

Reformulation of main theorem, minor changes in the proof

Scientific paper

10.1007/s00220-003-0958-6

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.

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