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

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

2012-02-13

arxiv.org/abs/1202.2629v1

Physics

Mathematical Physics

Scientific paper

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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