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Yang-Mills field from quaternion space geometry, and its Klein-Gordon representation
Ефремов А.П. (Yefremov A.P.) Smarandachey F., Christiantoz V. Yang-Mills field from quaternion space geometry, and its Klein-Gordon representation // Hadron models and related New Energy issues. 2007. 42-50.

Категории: Исследование, Авторский указатель

Yang-Mills field from quaternion space geometry, and its Klein-Gordon representation
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Аннотация

Analysis of covariant derivatives of vectors in quaternion (Q-) spaces performed using Q-unit spinor-splitting technique and use of SL(2C)-in variance of quaternion multiplication reveals close connexion of Q-geometry objects and Yang-Mills (YM) field principle characteristics. In particular, it is shown that Q-connexion (with quaternion non-metricity) and related curvature of 4 dimensional (4D) space- times with 3D Q-space sections are formally equivalent to respectively YM-field potential and strength, traditionally emerging from the minimal action assumption. Plausible links between YM field equation and Klein-Gordon equation, in particular via its known isomorphism with Duffin-Kemmer equation, are also discussed.

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