Energy-momentum spectrum and vacuum expectation values in quantum field theory

James Glimm; Arthur Jaffe

doi:10.1063/1.1665134

Energy-momentum spectrum and vacuum expectation values in quantum field theory

James Glimm
, Arthur Jaffe

Applied Mathematics and Statistics

Harvard University
Alfred P. Sloan Foundation

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

16 Scopus citations

Abstract

We consider nonlinear boson self-interactions with a periodic spatial cutoff. We prove that the energy-momentum spectrum lies in the forward light cone. A momentum cutoff does not influence this result. For theories with finite-field strength renormalization, we obtain bounds on the vacuum expectation values of products of the φ_t's and Δφ's. These bounds are uniform in the volume (and possible momentum) cutoff.

Original language	English
Pages (from-to)	3335-3338
Number of pages	4
Journal	Journal of Mathematical Physics
Volume	11
Issue number	12
DOIs	https://doi.org/10.1063/1.1665134
State	Published - 1970

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title = "Energy-momentum spectrum and vacuum expectation values in quantum field theory",

abstract = "We consider nonlinear boson self-interactions with a periodic spatial cutoff. We prove that the energy-momentum spectrum lies in the forward light cone. A momentum cutoff does not influence this result. For theories with finite-field strength renormalization, we obtain bounds on the vacuum expectation values of products of the φt's and Δφ's. These bounds are uniform in the volume (and possible momentum) cutoff.",

author = "James Glimm and Arthur Jaffe",

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T1 - Energy-momentum spectrum and vacuum expectation values in quantum field theory

AU - Glimm, James

AU - Jaffe, Arthur

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AB - We consider nonlinear boson self-interactions with a periodic spatial cutoff. We prove that the energy-momentum spectrum lies in the forward light cone. A momentum cutoff does not influence this result. For theories with finite-field strength renormalization, we obtain bounds on the vacuum expectation values of products of the φt's and Δφ's. These bounds are uniform in the volume (and possible momentum) cutoff.

UR - https://www.scopus.com/pages/publications/36849113765

U2 - 10.1063/1.1665134

DO - 10.1063/1.1665134

M3 - Article

AN - SCOPUS:36849113765

SN - 0022-2488

VL - 11

SP - 3335

EP - 3338

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

ER -

Energy-momentum spectrum and vacuum expectation values in quantum field theory

Abstract

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