Binding energy for hydrogen-like atoms in the Nelson model without cutoffs. (English) Zbl 1082.81088
As a very famous result in the early days of constructive quantum field theory, Nelson proved that for charges coupled to a scalar massless Bose field the ultraviolet cutoff can be removed at the expense of an infinite energy renormalization. In this contribution, the authors study Nelson’s model for the case of a hydrogen-like atom. The main goal is to obtain precise estimates on the binding energy and thus to prove that Nelsons’s renormalized Hamiltonian is in agreement with the experimental fact of small radiative corrections.
Reviewer: T. C. Mohan (Dehra Dun)
MSC:
| 81V35 | Nuclear physics |
| 81V10 | Electromagnetic interaction; quantum electrodynamics |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81T08 | Constructive quantum field theory |
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