Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9495971 | Journal of Functional Analysis | 2005 | 40 Pages |
Abstract
Ground states of Hamiltonian H of quantum field models are investigated. The infimum of the spectrum of H is in the edge of its essential spectrum. 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 give an upper bound of the multiplicity of ground states of H. Typical examples are massless GSB models and the Pauli-Fierz model with spin 1/2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fumio Hiroshima,