Multiplicity of ground states in quantum field models: applications of asymptotic fields
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
The ground states of an abstract model in quantum field theory are investigated. By means of the asymptotic field theory, we give a necessary and sufficient condition for that the expectation value of the number operator of ground states is finite, from which we obtain a wide-usable method to estimate an upper bound of the multiplicity of ground states. Ground states of massless GSB models and the Pauli-Fierz model with spin 1/2 are investigated as examples.
Keywords
Cite
@article{arxiv.math-ph/0402075,
title = {Multiplicity of ground states in quantum field models: applications of asymptotic fields},
author = {Fumio Hiroshima},
journal= {arXiv preprint arXiv:math-ph/0402075},
year = {2007}
}