Abstract
The cluster expansion [Glimm, Jaffe and Spencer, 1973, 1974] allows a detailed study of the properties of quantum fields. Consequences of the cluster expansion, in addition to the proof of existence of the infinite volume limit, are the detailed properties of the spectrum: the multiplicity of the ground state, the existence of isolated particle spectrum, the existence or absence of bound states, the completeness of scattering states at low energies, analyticity in the coupling constants, Borel summability, etc. Applications have been indicated in Chapter 14 to the study of particles and in Chapters 5 and 16 to the study of phase transitions.
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References include
[Glimm, Jaffe, and Spencer 1973, 1974], [Spencer, 1974b] [Glimm, Jaffe, and Spencer, 1976a], and [Spencer, 1975]. See also Chapters 14 and 23.
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© 1987 Springer-Verlag New York Inc.
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Glimm, J., Jaffe, A. (1987). The Cluster Expansion. In: Quantum Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4728-9_18
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DOI: https://doi.org/10.1007/978-1-4612-4728-9_18
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-96477-5
Online ISBN: 978-1-4612-4728-9
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