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Local generators for the Lorentz group in theP(ϕ)2 model

Локальные генераторы для группы Лорентца в моделиP(ϕ)2

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Il Nuovo Cimento A (1965-1970)

Summary

We prove self-adjointness of the local energy, momentum and Lorentz-boost densities in theP(ϕ)2 quantum field model. We also show that these generators yield the correctP(ϕ)2 dynamics.

Riassunto

Si dimostra che le densità locali dell’energia, dell’impulso e degli incrementi di Lorentz sono autoaggiunte nel modello di tipoP(ϕ 2) dei campi quantistici. Si dimostra inoltre che tali generatori forniscono la corretta dinamica di tipoP(ϕ)2.

Реэюме

Мы докаэываем самосопряженность локальной знергии, импульса и Лорентц-плотностей в модели квантованного поляP(ϕ)2. Мы также покаэываем, что зти генераторы приводят к правильнойP(ϕ)2 динамике.

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Authors and Affiliations

  1. Department of Mathematics, University of Toronto, Toronto

    O. A. McBryan

Authors
  1. O. A. McBryan
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Additional information

To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Supported in part by the National Research Council of Canada and by the National Science Foundation, Grant N5F-GP-31239X.

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McBryan, O.A. Local generators for the Lorentz group in theP(ϕ)2 model. Nuov Cim A 18, 654–662 (1973). https://doi.org/10.1007/BF02727582

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  • DOI: https://doi.org/10.1007/BF02727582

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