Result: The Ground State Energy of the Massless Spin-Boson Model
Title:
The Ground State Energy of the Massless Spin-Boson Model
Authors:
Source:
Annales Henri Poincaré. 12(7):1321-1347
Publisher Information:
Heidelberg: Springer, 2011.
Publication Year:
2011
Physical Description:
print, 59 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Physics, Physique, Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Probabilités et statistiques, Probability and statistics, Théorie des probabilités et processus stochastiques, Probability theory and stochastic processes, Processus stochastiques, Stochastic processes, Physique, Physics, Generalites, General, Méthodes mathématiques en physique, Mathematical methods in physics, Divers, Other topics in mathematical methods in physics, Borne inférieure, Lower bound, Cota inferior, Convergence, Développement amas, Cluster expansion, En ligne, On line, En línea, En série, In series, En serie, Energie, Energy, Etat fondamental, Ground states, Expansion, Groupe renormalisation, Renormalization group, Grupo renormalización, Interaction longue distance, Long range interaction, Interacción larga distancia, Marche aléatoire, Random walk, Modèle Ising, Ising model, Physique mathématique, Mathematical physics, Radius, Radio, Représentation intégrale, Integral representation, Representación integral, Spin, Série entière, Power series, Serie potencias, Théorie constructive, Constructive theory, Teoría constructiva, Théorie quantique champ, Quantum field theory, 60G50, Analyse multiéchelle, Développement mathématique, Mathematical expansion, Fonctionnelle intégrale, Intégrale fonctionnelle
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics University of Virginia P. O. Box 400137, Charlottesville, VA 22904-4137, United States
ISSN:
1424-0637
Rights:
Copyright 2014 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.24576605
Database:
PASCAL Archive
Further Information
We provide an explicit combinatorial expansion for the ground state energy of the massless spin-Boson model as a power series in the coupling parameter. Our method uses the technique of cluster expansion in constructive quantum field theory and takes as a starting point the functional integral representation and its reduction to an Ising model on the real line with long range interactions. We prove the analyticity of our expansion and provide an explicit lower bound on the radius of convergence. We do not need multiscale nor renormalization group analysis. A connection to the loop-erased random walk is indicated.