Abstract
The polarization operator of a photon in a static uniform magnetic field has been studied at photon energies both above and below the threshold of electron–positron pair production by a photon. In the first order of the fine-structure constant α, expressions for the refractive index of a photon with a certain polarization in both low and high fields as compared to the critical field H 0 = 4.41 × 1013 G have been obtained. Both the purely quantum range of photon energies, where the particles of a pair are produced at the lowest Landau levels, and the region of applicability of the semiclassical approximation in the case of the population of high energy levels have been considered. A general spectral integral formula has been obtained with divergent threshold terms separated in an explicit form.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Ruderman, in The Electromagnetic Spectrum of Neutron Stars, NATO ANSI Proc. (Springer, New York, 2004).
R. C. Duncan and C. Tompson, Astrophys. J. 392, 19 (1992).
I. A. Batalin and A. E. Shabad, Sov. Phys. JETP 33, 483 (1971).
J. Schwinger, Phys. Rev. 82, 664 (1951).
Wu-yang Tsai, Phys. Rev. D 10, 2699 (1974).
A. E. Shabad, Ann. Phys. (N.Y.) 90, 166 (1975).
Wu-yang Tsai and T. Erber, Phys. Rev. D 12, 1132 (1975).
V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Sov. Phys. JETP 41, 198 (1975).
V. N. Baier, A. I. Milshtein, and R. Zh. Shaisultanov, J. Exp. Theor. Phys. 84, 29 (1997).
A. C. Harding, M. G. Baring, and P. L. Conthier, Astrophys. J. 476, 246 (1997).
A. E. Shabad, J. Exp. Theor. Phys. 98, 186 (2004).
A. E. Shabad and V. V. Usov, Phys. Rev. Lett. 98, 180403 (2007).
A. E. Shabad and V. V. Usov, Phys. Rev. D 77, 025001 (2008).
N. Sadooghi and A. S. Jalili, Phys. Rev. D 76, 065013 (2007).
B. Machet and M. I. Vysotsky, Phys. Rev. D 83, 025022 (2011).
S. Godunov, B. Machet, and M. I. Vysotsky, Phys. Rev. D 85, 044058 (2012).
V. N. Baier and V. M. Katkov, Phys. Rev. D 75, 073009 (2007).
V. M. Katkov, J. Exp. Theor. Phys. 114, 226 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.M. Katkov, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 150, No. 2, pp. 229–237.
Rights and permissions
About this article
Cite this article
Katkov, V.M. Polarization operator of a photon in a magnetic field. J. Exp. Theor. Phys. 123, 197–204 (2016). https://doi.org/10.1134/S1063776116070086
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776116070086