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arxiv: 1202.2629 · v2 · pith:NG5JRMQYnew · submitted 2012-02-13 · 🧮 math-ph · math.MP

Enhanced binding of an N-particle system interacting with a scalar field II.Relativistic version

classification 🧮 math-ph math.MP
keywords groundbindingenhancedfieldrelativisticscalarstatesystem
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An enhanced binding of $N$-{\it relativistic} particles coupled to a massless scalar bose field is investigated. It is not assumed that the system has a ground state for the zero-coupling. It is shown, however, that there exists a ground state for sufficiently large coupling. The proof is based on checking the stability condition and showing a uniform exponential decay of infrared regularized ground states.

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