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

Fumio Hiroshima; Itaru Sasaki

doi:10.4171/PRIMS/168

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

Fumio Hiroshima, Itaru Sasaki

Department of Mathematics

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Abstract

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 sufficiently large coupling. The proof is based on checking the stability condition and showing uniform exponential decay of infrared-regularized ground states.

Original language	English
Pages (from-to)	655-690
Number of pages	36
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	51
Issue number	4
DOIs	https://doi.org/10.4171/PRIMS/168
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4171/PRIMS/168

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

abstract = "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 sufficiently large coupling. The proof is based on checking the stability condition and showing uniform exponential decay of infrared-regularized ground states.",

author = "Fumio Hiroshima and Itaru Sasaki",

note = "Publisher Copyright: {\textcopyright} 2015 Research Institute for Mathematical Sciences, Kyoto University.",

year = "2015",

doi = "10.4171/PRIMS/168",

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AU - Hiroshima, Fumio

AU - Sasaki, Itaru

PY - 2015

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AB - 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 sufficiently large coupling. The proof is based on checking the stability condition and showing uniform exponential decay of infrared-regularized ground states.

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SN - 0034-5318

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

Abstract

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