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Trace Formulas, a Golden–Thompson Inequality and Classical Limit in Boson Fock Space

Authors
Journal
Journal of Functional Analysis
0022-1236
Publisher
Elsevier
Publication Date
Volume
136
Issue
2
Identifiers
DOI: 10.1006/jfan.1996.0036
Disciplines
  • Physics

Abstract

Abstract Trace formulas for the heat semi-groups of second quantization operators and their perturbations in the abstract boson Fock space are given in terms of path (functional) integral representations. As applications, an inequality of Golden–Thompson type and a classical limit are derived for the trace of the heat semi-group of a perturbed second quantization operator. The abstract results are applied to a model of P( φ)-type in quantum field theory.

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