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The scalar field-theoretical Coulomb problem

N. E. Ligterink·B. L. G. Bakker
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Abstract

We analyze the fully relativistic, field-theoretical treatment of the scalar Coulomb problem. We work in a truncated Hilbert-Fock space containing the two-constituent states and the two-constituent-and-one-massless-exchange-particle states. Self-energy contributions are dominant for large values of the coupling constant. Using the covariant formulation of the self-energy does not alter these results significantly. Both the weak-coupling limit and the heavy-mass limit lead to the non-relativistic results.

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N. E. Ligterink, B. L. G. Bakker. 2001-02-15. The scalar field-theoretical Coulomb problem. https://arxiv.org/abs/hep-ph/0010167

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