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On a spectral condition for infrared singular quantum fields

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Abstract

The problem of formulating the spectral condition for vacuum expectation values of quantum fields with singular infrared behavior is discussed. It is shown that this problem is closely connected with the problem of extending the Paley-Wiener-Schwartz theorem to wider distribution classes. Studying this connection leads to a generalized spectral condition applicable to fields of arbitrarily high singularity.

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Authors and Affiliations

  1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, USSR

    M. A. Soloviev

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  1. M. A. Soloviev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 105, No. 3, pp. 405–411, December, 1995.

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Soloviev, M.A. On a spectral condition for infrared singular quantum fields. Theor Math Phys 105, 1520–1524 (1995). https://doi.org/10.1007/BF02070872

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  • DOI: https://doi.org/10.1007/BF02070872

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