Geodesic
On a mathematical problem in the theory of Goldstone bosons
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2020), pp. 81-86.

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According to the theory of Goldstone bosons, one of the sources of arion radiation is electromagnetic fields. However, the retarded solution of the arion field equations turns out to be inconvenient to apply, since the integrand is not equal to zero in the entire space and there are no small parameters in the problem by whose powers it can be decomposed. In this paper, based on the proved theorems, we propose an algorithm for solving problems when the electromagnetic the source of anion radiation is set at all points in space.
Keywords: Common and particular solution of the inhomogeneous the differential equations, extremes of the function, the angular distribution of the anionic emission. 
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I. P. Denisova. On a mathematical problem in the theory of Goldstone bosons. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2020), pp. 81-86. http://geodesic.mathdoc.fr/item/IVM_2020_11_a5/

[1] Aad G. et al., “Combined search for the Standard Model Higgs boson in pp collisions at $\sqrt{s}$=7 TeV with the ATLAS detector”, Phys. Rev. D, 86:3 (2012), 032003 | DOI

[2] Anstlm A. A., “Experimental test for arion-photon oscillations in a homogeneous constant magnetic field”, Phys. Rev. D, 37:7 (1988), 2001 | DOI

[3] Neronov Yu. I., “Opredelenie energii spin-spinovogo vzaimodeistviya v deitero-vodorode hd i otsenki proyavleniya aksion-podobnykh chastits”, ZhETF, 153:3 (2018), 388–393

[4] Balakin A. B., Wei-Tou Ni, “Non-minimal coupling of photons and axions”, Class. Quantum Grav., 27 (2010), 055003 | DOI | MR | Zbl

[5] Beyer K. A., et al., “Axion detection through resonant photon-photon collisions”, Physical Review D, 101:9 (2020), 095018 | DOI

[6] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972 | MR

[7] Drivotin O. I., Matematicheskie osnovy teorii polya, Izd-vo S.-Pb. un-ta, S.-Pb., 2010