Ground state for point particles interacting through a massless scalar Bose field

Physics – Mathematical Physics

Scientific paper

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45 pages

Scientific paper

We consider a massless scalar Bose field interacting with two particles, one
of them infinitely heavy. Neither an infrared nor an ultraviolet cutoff is
imposed. In case the charge of the particles is of the same sign and
sufficiently small, we prove the existence of a ground state.

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