Infinite renormalization of the Hamiltonian is necessary

James Glimm; Arthur Jaffe

doi:10.1063/1.1664825

Infinite renormalization of the Hamiltonian is necessary

James Glimm
, Arthur Jaffe

Applied Mathematics and Statistics

Harvard University

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

13 Scopus citations

Abstract

We show that the unrenormalized Hamiltonian in quantum field theory is unbounded from below whenever lowest-order perturbation theory indicates that this is true. We conclude that perturbation theory is an accurate guide to the divergence of the vacuum energy in quantum field theory.

Original language	English
Pages (from-to)	2213-2214
Number of pages	2
Journal	Journal of Mathematical Physics
Volume	10
Issue number	12
DOIs	https://doi.org/10.1063/1.1664825
State	Published - 1969

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title = "Infinite renormalization of the Hamiltonian is necessary",

abstract = "We show that the unrenormalized Hamiltonian in quantum field theory is unbounded from below whenever lowest-order perturbation theory indicates that this is true. We conclude that perturbation theory is an accurate guide to the divergence of the vacuum energy in quantum field theory.",

author = "James Glimm and Arthur Jaffe",

year = "1969",

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AU - Glimm, James

AU - Jaffe, Arthur

PY - 1969

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AB - We show that the unrenormalized Hamiltonian in quantum field theory is unbounded from below whenever lowest-order perturbation theory indicates that this is true. We conclude that perturbation theory is an accurate guide to the divergence of the vacuum energy in quantum field theory.

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DO - 10.1063/1.1664825

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VL - 10

SP - 2213

EP - 2214

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

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Infinite renormalization of the Hamiltonian is necessary

Abstract

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