Constitutive equations of the axion theory: relativism and duality

E A Tolkachev

doi:10.29235/1561-8323-2019-63-1-14-21

Abstract

Based on a comparative analysis of relativistic constitutive equations of the Bokut-Serdyukov-Fedorov (BSF) and Tamm, it was shown that the dual invariance of the latter requires the reversibility of the Tamm material tensor, while the BSF equations are properly dual-invariant. The connection of the mentioned approaches is demonstrated by the example of the equations of axion electrodynamics which were first formulated in the BSF formalism. Communicated by Corresponding Member Lev M. Tomilchik

Highlights

Based on a comparative analysis of relativistic constitutive equations of the Bokut–Serdyukov–Fedorov (BSF) and Tamm, it was shown that the dual invariance of the latter requires the reversibility of the Tamm material tensor, while the BSF equations are properly dual-invariant
The connection of the mentioned approaches is demonstrated by the example of the equations of axion electrodynamics which were first formulated in the BSF formalism
P. Duality and μ-separability of Maxwell equations in Kerr-NUT-(A)dS spacetime / V

Summary

Gμν F μν

=0, здесь и далее для сокращения формул не делается различия между контра- и ковариантными тензорами, что допустимо в пространстве Минковского. Отсюда почти автоматически следует релятивистски и дуально инвариантная запись произвольных линейных уравнений связи в подходе [4; 5]

Gμρ F μρ

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