Treffer: Infrared Problem for the Nelson Model on Static Space-Times
Title:
Infrared Problem for the Nelson Model on Static Space-Times
Source:
Communications in mathematical physics. 308(2):543-566
Publisher Information:
Heidelberg: Springer, 2011.
Publication Year:
2011
Physical Description:
print, 1 p.1/4
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Géométrie, Geometry, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Hamiltonien, Hamiltonians, Physique mathématique, Mathematical physics, 51B20
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Département de Mathématiques, Université de Paris XI, 91405 Orsay, France
Department of Mathematics, University of Kyushu, 6-10-1, Hakozaki, Fukuoka 812-8581, Japan
UMR 6207, Université Toulon-Var, 83957 La Garde, France
Department of Mathematics, Faculty of Engineering, Shinshu University. 4-17-1 Wakasato, Nagano 380-8553, Japan
Department of Mathematics, University of Kyushu, 6-10-1, Hakozaki, Fukuoka 812-8581, Japan
UMR 6207, Université Toulon-Var, 83957 La Garde, France
Department of Mathematics, Faculty of Engineering, Shinshu University. 4-17-1 Wakasato, Nagano 380-8553, Japan
ISSN:
0010-3616
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Theoretical physics
Theoretical physics
Accession Number:
edscal.24765440
Database:
PASCAL Archive
Weitere Informationen
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|x|-1 at infinity for some C > 0 then the Nelson Hamiltonian has a ground state.