Enhanced Binding of an $N$-particle System Interacting with a Scalar Field II. Relativistic Version | Zendy

Fumio Hiroshima | Zendy; Itaru Sasaki | Zendy

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Enhanced Binding of an $N$-particle System Interacting with a Scalar Field II. Relativistic Version

Author(s) -

Fumio Hiroshima,

Itaru Sasaki

Publication year - 2015

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.4171/prims/168

Subject(s) - scalar field , scalar (mathematics) , relativistic particle , particle system , physics , mathematical physics , mathematics , quantum mechanics , geometry , computer science , electron , operating system

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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