Spectrum of local Hamiltonians in the Yukawa2 field theory

Jonathan Dimock

doi:10.1063/1.1666004

Spectrum of local Hamiltonians in the Yukawa₂ field theory

Jonathan Dimock

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

It is proved that the local Hamiltonians constructed for the two-dimensional Yukawa model by Glimm and Jaffe have the same continuous spectrum as the free Hamiltonian. The proof depends on the construction of asymptotic creation and annihilation operators.

Original language	English
Pages (from-to)	477-481
Number of pages	5
Journal	Journal of Mathematical Physics
Volume	13
Issue number	4
DOIs	https://doi.org/10.1063/1.1666004
State	Published - 1972

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title = "Spectrum of local Hamiltonians in the Yukawa2 field theory",

abstract = "It is proved that the local Hamiltonians constructed for the two-dimensional Yukawa model by Glimm and Jaffe have the same continuous spectrum as the free Hamiltonian. The proof depends on the construction of asymptotic creation and annihilation operators.",

author = "Jonathan Dimock",

year = "1972",

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AB - It is proved that the local Hamiltonians constructed for the two-dimensional Yukawa model by Glimm and Jaffe have the same continuous spectrum as the free Hamiltonian. The proof depends on the construction of asymptotic creation and annihilation operators.

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DO - 10.1063/1.1666004

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VL - 13

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Spectrum of local Hamiltonians in the Yukawa₂ field theory

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