Spectral density of eigenvalues of the wave equation and vacuum polarization

The effective Lagrange function of vacuum polarization is expressed in terms of the spectral density of the eigenvalues of the wave equation and the related five-dimensional Green's function introduced by Fock in his fifth-coordinate method. The method can be used for arbitrarily strong external fields, but the interaction of the vacuum fields is neglected. The vacuum polarization by the gravitational and electromagnetic fields is calculated.

PACS: 04.20.Fy, 04.50.+h, 98.80.Es (all)
DOI: 10.1070/PU1991v034n05ABEH002499
URL: https://ufn.ru/en/articles/1991/5/j/
Citation: Sakharov A D "Spectral density of eigenvalues of the wave equation and vacuum polarization" Sov. Phys. Usp. 34 (5) 395–400 (1991)

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Оригинал: Сахаров А Д «Спектральная плотность собственных значений волнового уравнения и поляризация вакуума» УФН 161 (5) 66–81 (1991); DOI: 10.3367/UFNr.0161.199105j.0066

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