Article Dans Une Revue Universe Année : 2023

Kerner equation for motion in a non-Abelian gauge field

P A Horváthy
P.-M Zhang
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Résumé

The equations of motion of an isospin-carrying particle in a Yang-Mills and gravitational field were first proposed in 1968 by Kerner, who considered geodesics in a Kaluza-Klein-type framework.

Two years later the flat space Kerner equations were completed by considering also the motion of the isospin by Wong, who used a field-theoretical approach. Their groundbreaking work was then followed by a long series of rediscoveries whose history is reviewed. The concept of isospin charge and the physical meaning of its motion are discussed. Conserved quantities are studied for Wu-Yang monopoles and for diatomic molecules by using van Holten's algorithm.

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Dates et versions

hal-05074988 , version 1 (20-05-2025)
hal-05074988 , version 2 (27-05-2025)

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P A Horváthy, P.-M Zhang. Kerner equation for motion in a non-Abelian gauge field. Universe, 2023, 9 (12), pp.519. ⟨10.3390/universe9120519⟩. ⟨hal-05074988v2⟩
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