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 | |
| Publication status | Published - Jan 1 2015 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
Enhanced binding of an N-particle system interacting with a scalar field II. Relativistic version. / Hiroshima, Fumio; Sasaki, Itaru.
In: Publications of the Research Institute for Mathematical Sciences, Vol. 51, No. 4, 01.01.2015, p. 655-690.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Enhanced binding of an N-particle system interacting with a scalar field II. Relativistic version
AU - Hiroshima, Fumio
AU - Sasaki, Itaru
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
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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UR - http://www.scopus.com/inward/citedby.url?scp=84946415604&partnerID=8YFLogxK
U2 - 10.4171/PRIMS/168
DO - 10.4171/PRIMS/168
M3 - Article
AN - SCOPUS:84946415604
VL - 51
SP - 655
EP - 690
JO - Publications of the Research Institute for Mathematical Sciences
JF - Publications of the Research Institute for Mathematical Sciences
SN - 0034-5318
IS - 4
ER -