Finite action Yang-Mills solutions on the group manifold

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1996-08-21

Author

Dereli, T
Schray, J
Tucker, RW

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We demonstrate that the left (and right) invariant Maurer-Cartan forms for any semi-simple Lie group enable solutions of the Yang-Mills equations to be constructed on the group manifold equipped with the natural Cartan-Killing metric. For the unitary unimodular groups the Yang-Mills action integral is finite for such solutions. This is explicitly exhibited for the case of SU(3).

Subject Keywords

Mathematical Physics, General Physics and Astronomy, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/66551

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

DOI

https://doi.org/10.1088/0305-4470/29/16/021

Collections

Department of Physics, Article

Citation Formats

T. Dereli, J. Schray, and R. Tucker, “Finite action Yang-Mills solutions on the group manifold,” JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 29, no. 16, pp. 5001–5005, 1996, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66551.