Multiplicity of ground states in quantum field models: applications of asymptotic fields
F Hiroshima - Journal of Functional Analysis, 2005 - Elsevier
Journal of Functional Analysis, 2005•Elsevier
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.
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.
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.
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