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JOURNALS // Uspekhi Fizicheskikh Nauk // Archive

UFN, 1991 Volume 161, Number 5, Pages 66–81 (Mi ufn7392)

This article is cited in 2 papers

TO THE 70TH ANNIVERSARY OF ANDREY DMITRIEVICH SAKHAROV

Spectral density of eigenvalues of the wave equation and vacuum polarization

A. D. Sakharov


Abstract: 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.

UDC: 539.12.01

PACS: 04.20.Fy, 04.50.+h, 98.80.Es

DOI: 10.3367/UFNr.0161.199105j.0066


 English version:
Physics–Uspekhi, 1991, 34:5, 395–400


© Steklov Math. Inst. of RAS, 2026