Independence of Yang-Mills Equations with Respect to the Invariant Pairing in the Lie Algebra |
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| Authors: | Marco Castrillón López Jaime Muñz Masquó |
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| Institution: | (1) Departamento de Geometría y Topología, Facultad de Matemáticas, UCM, Avda. Complutense S/N, 28040 Madrid, Spain;(2) Instituto de Física Aplicada, CSIC, C/ Serrano 144, 28006 Madrid, Spain |
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| Abstract: | It is proved that the Euler–Lagrange equations of a Yang-Mills type Lagragian is independent with respect to the chosen pairing
in the Lie algebra. Moreover, the Hamilton-Cartan equations of these Lagrangians are obtained and proved to be also independent
with respect to the pairing.
PACS Numbers 2003: 02.20.Qs, 02.20.Sv, 02.20.Tw, 02.40.Ma, 02.40.Vh, 11.10.Ef, 11.15.Kc
Mathematics Subject Classification 2000: Primary 70S15, Secondary 58A20, 58E15, 58E30, 70S05, 70S10, 81T13 |
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| Keywords: | Adjoint-invariant pairing gauge invariance jet bundles principal connection Yang-Mills fields |
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