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

Fumio Hiroshima, Itaru Sasaki

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1 Citation (Scopus)

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 languageEnglish
Pages (from-to)655-690
Number of pages36
JournalPublications of the Research Institute for Mathematical Sciences
Volume51
Issue number4
DOIs
Publication statusPublished - Jan 1 2015

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Interacting Particle Systems
Scalar Field
Ground State
Uniform Decay
Exponential Decay
Stability Condition
Infrared
Scalar
Zero

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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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.",
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