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Nonpositivity of the energy density in quantized field theories


It is shown that a positive definite local energy density is incompatible with the usual postulates of local field theory. The question whether it can be bounded below is briefly discussed but not solved.


Si dimostra che una densità di energia locale, definita, positiva è incompatibile con i postulati usuali della teoria dei campi locali. Si discute, ma non si risolve, 1a. questione se eisa posaa essere limitata in basso.

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  1. (1)

    See, for instance:W. E. Thikring:Principles of Quantum Electrodynamics (New York 1958).

  2. (2)

    A. S. Wightman:La Théorie Quantique Locale et la Théorie Quantique des Chiamps, Annales de l’Institut Henri Poincaré, to appear.

  3. (3)

    See:A. S. Wightman andL. G-åeding:Fields as Operator-Valued Distributions, preprint, Princeton University.

  4. (4)

    Stated asTheorem 4-3, p. 139, in:R. P. Steeatee andA. S. Wightman:POT, Spin and Statistics, and All That (New York, Amsterdam, 1964), where other references are given.

  5. (5)

    D. Ruelle:Helv. Phys. Aeta,35, 147 (1962).

    MathSciNet  Google Scholar 

  6. (6)

    H. J. Borchers:Fields as C∞ Functions in Space-like Directions, preprint I.H.E.S.

  7. (7)

    O. E. Lanfoed: private communication.

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On leave of absence from CERN, Genève.

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Epstein, H., Glaser, V. & Jaffe, A. Nonpositivity of the energy density in quantized field theories. Nuovo Cim 36, 1016–1022 (1965).

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