Multiplicity of ground states in quantum field models: Applications of asymptotic fields

研究成果: Contribution to journalArticle査読

18 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)431-470
ページ数40
ジャーナルJournal of Functional Analysis
224
2
DOI
出版ステータス出版済み - 7 15 2005

All Science Journal Classification (ASJC) codes

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