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

An enhanced binding of $N$ 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 su fficiently large coupling. The proof is based on checki...

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Veröffentlicht in:Publications of the Research Institute for Mathematical Sciences 2015, Vol.51 (4), p.655-690
Hauptverfasser: Hiroshima, Fumio, Sasaki, Itaru
Format: Artikel
Sprache:eng
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Zusammenfassung:An enhanced binding of $N$ 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 su fficiently large coupling. The proof is based on checking the stability condition and showing uniform exponential decay of infrared-regularized ground states.
ISSN:0034-5318
1663-4926
DOI:10.4171/PRIMS/168