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Finite action Yang-Mills solutions on the group manifold
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Date
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
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BibTeX
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.