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

Christian Hainzl·Heinz Siedentop
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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.

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Christian Hainzl, Heinz Siedentop. 2003-04-04. Non-Perturbative Mass and Charge Renormalization in Relativistic No-Photon Quantum Electrodynamics. https://doi.org/10.1007/s00220-003-0958-6

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