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arXiv math-ph/0303043math-phhep-thmath.MP
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相对论非光子量子电动力学中的非微扰质量和电荷重整化

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

Christian Hainzl, Heinz Siedentop

摘要:

从物理学文献中发现的正式哈密顿量开始-省略光子-我们通过电荷和质量重整化来定义重整化哈密顿量。我们表明,单电子子空间的限制是明确的。我们的构造是非微扰的,并且不使用截止。哈密顿量与μ子原子中兰姆位移的描述有关。

英文摘要:

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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