Polarization operator of a photon in a magnetic field
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 finestructure 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{sub 0} = 4.41 × 10{sup 13} 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.
 Authors:
 Russian Academy of Sciences, Budker Institute of Nuclear Physics, Siberian Branch (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22617216
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 123; Journal Issue: 2; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPARATIVE EVALUATIONS; CRITICAL FIELD; ELECTRONS; ENERGY LEVELS; FINE STRUCTURE; PAIR PRODUCTION; PHOTONS; POLARIZATION; POSITRONS; REFRACTIVE INDEX; SEMICLASSICAL APPROXIMATION
Citation Formats
Katkov, V. M., Email: V.M.Katkov@inp.nsk.su. Polarization operator of a photon in a magnetic field. United States: N. p., 2016.
Web. doi:10.1134/S1063776116070086.
Katkov, V. M., Email: V.M.Katkov@inp.nsk.su. Polarization operator of a photon in a magnetic field. United States. doi:10.1134/S1063776116070086.
Katkov, V. M., Email: V.M.Katkov@inp.nsk.su. 2016.
"Polarization operator of a photon in a magnetic field". United States.
doi:10.1134/S1063776116070086.
@article{osti_22617216,
title = {Polarization operator of a photon in a magnetic field},
author = {Katkov, V. M., Email: V.M.Katkov@inp.nsk.su},
abstractNote = {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 finestructure 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{sub 0} = 4.41 × 10{sup 13} 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.},
doi = {10.1134/S1063776116070086},
journal = {Journal of Experimental and Theoretical Physics},
number = 2,
volume = 123,
place = {United States},
year = 2016,
month = 8
}

Wboson contribution to photon polarization operator in an external magnetic field
The authors calculated the oneloop contribution of Wbosons to the photon propagator in a constant homogeneous magnetic field. They obtain the probability for the creation of a pair of Wbosons by a polarized photon and the radiative shift of the photon mass in the external field above. 
Twovertex loop diagrams in the twodimensional subspace induced by a superstrong magnetic field: polarization operator and photon and axion decay to neutrinos
The absence of divergences and singularities in effectively twodimensional field theory induced by a superstrong magnetic field is demonstrated for the example where loop diagrams involving two vector and two pseudovector vertices are calculated. The form of effective lowenergy Lagrangians for ({gamma}{nu}{nu}) and (a{nu}{nu}) interactions in a superstrong magnetic field is presented. The role of photon and axion decays to neutrinos in the early universe is discussed. 
Polarization operator in (2+1)dimensional quantum electrodynamics in an external magnetic field
The polarization operator in (2+1)dimensional quantum electrodynamics in an external magnetic field is calculated in the oneloop approximation. Its expansion in eigenvectors is obtained and the analytical properties of the eigenvalues are studied. In particular it turns out that, in contrast to QED{sub 3+1}, the polarization operator has simple poles at the electronpositron pairproduction threshold. 
Photon decay into neutrinos in a strong magnetic field. [Schwinger mass operator technique]
The real photon decay, ..gamma.. ..>.. ..nu mu..bar, is calculated in strong magnetic fields (H approx. 10/sup 13/ G) using a version of Schwinger's mass operator technique, which makes use of the explicit form of the electron Green's function. The reaction is kinematically allowed by an index of refraction less than one. This latter condition may arise either from quantum electrodynamics (high frequencies) or from the effects of a material medium or plasma (low frequencies). The calculation is based on pointcharged and neutralcurrent interactions for the leptons, which should agree with an SU/sub 2/ x U/sub 1/ gaugetheory calculation asmore »