Infrared Problem for the Nelson Model on Static Space-Times

Christian Gérard, Fumio Hiroshima, Annalisa Panati, Akito Suzuki

研究成果: ジャーナルへの寄稿記事

6 引用 (Scopus)

抄録

We consider the Nelson model on some static space-times and investigate the problem of existence of a ground state. Nelson models with variable coefficients arise when one replaces in the usual Nelson model the flat Minkowski metric by a static metric, allowing also the boson mass to depend on position. We investigate the existence of a ground state of the Hamiltonian in the presence of the infrared problem, i. e. assuming that the boson mass m(x) tends to 0 at spatial infinity. We show that if m(x) ≥ C {pipe}x{pipe}-1 at infinity for some C > 0 then the Nelson Hamiltonian has a ground state.

元の言語英語
ページ(範囲)543-566
ページ数24
ジャーナルCommunications in Mathematical Physics
308
発行部数2
DOI
出版物ステータス出版済み - 12 1 2011

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Ground State
Infrared
Space-time
Bosons
infinity
ground state
bosons
Infinity
Metric
Variable Coefficients
Model
Tend
coefficients

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用

Infrared Problem for the Nelson Model on Static Space-Times. / Gérard, Christian; Hiroshima, Fumio; Panati, Annalisa; Suzuki, Akito.

:: Communications in Mathematical Physics, 巻 308, 番号 2, 01.12.2011, p. 543-566.

研究成果: ジャーナルへの寄稿記事

Gérard, Christian ; Hiroshima, Fumio ; Panati, Annalisa ; Suzuki, Akito. / Infrared Problem for the Nelson Model on Static Space-Times. :: Communications in Mathematical Physics. 2011 ; 巻 308, 番号 2. pp. 543-566.
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