Upper bounds on the degeneracy of the ground state in quantum field models
type: Item
instance of: scholarly article
title: Upper bounds on the degeneracy of the ground state in quantum field models
zbMATH Open document ID: 1400.81136
DOI: 10.1155/2016/8908413
author: Asao Arai
author: Daiju Funakawa
published in: Advances in Mathematical Physics
publication date: 2018-10-17T00:00:00Z
review text: Summary: Axiomatic abstract formulations are presented to derive upper bounds on the degeneracy of the ground state in quantum field models including massless ones. In particular, given is a sufficient condition under which the degeneracy of the ground state of the perturbed Hamiltonian is less than or equal to the degeneracy of the ground state of the unperturbed one. Applications of the abstract theory to models in quantum field theory are outlined.
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 35P15
Mathematics Subject Classification ID: 81V70
zbMATH DE Number: 6957383
Wikidata QID: Q59122579
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/8908413
OpenAlex ID: W2261847084
cites work: Q4185363
cites work: Invariant Cones and Uniqueness of the Ground State for Fermion Systems
cites work: Quantum Griffiths inequalities
cites work: SELF-DUAL CONE ANALYSIS IN CONDENSED MATTER PHYSICS
cites work: Quantum electrodynamics of confined nonrelativistic particles
cites work: Multiplicity of ground states in quantum field models: applications of asymptotic fields
cites work: Q5653193
cites work: Q4066072
cites work: On the existence and uniqueness of ground states of a generalized spin-boson model
cites work: On the absence of eigenvectors of Hamiltonians in a class of massless quantum field models without infrared cutoff
cites work: REGULARITIES OF GROUND STATES OF QUANTUM FIELD MODELS
cites work: An abstract sum formula and its applications to special functions
description: scientific article; zbMATH DE number 6957383