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On a Mathematical Problem in the Theory of Goldstone Bosons

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Abstract

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 source of arion radiation is set at all points in space.

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Correspondence to I. P. Denisova.

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Communicated by V. G. Zvyagin.

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 11, pp. 81–86.

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Denisova, I.P. On a Mathematical Problem in the Theory of Goldstone Bosons. Russ Math. 64, 73–77 (2020). https://doi.org/10.3103/S1066369X20110067

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  • DOI: https://doi.org/10.3103/S1066369X20110067

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