Timeline for Solvability of Yang-Mills equations
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Aug 4 at 18:04 | comment | added | Pedro Lauridsen Ribeiro | I don't know if this may be of interest to the OP, but it should also be remarked that the result holds in practically${}^*$ the same generality for any globally hyperbolic 4-dim. space-time, see P. T. Chrusciel and J. Shatah, Global Existence of Solutions of the Yang-Mills Equations on Globally Hyperbolic Four-Dimensional Lorentzian Manifolds, Asian J. Math. 1 (1997) 530-548. (${}^*$ - pure Yang-Mills, with no Higgs coupling. It's also assumed that the Lie algebra of the gauge group has a faithful rep. as a matrix subalgebra) | |
| Aug 4 at 14:34 | vote | accept | Arnold Neumaier | ||
| Aug 4 at 13:28 | comment | added | Igor Khavkine | @ArnoldNeumaier For non-compact gauge groups, there seem to be counter examples to long time existence. | |
| Aug 4 at 13:26 | history | edited | Igor Khavkine | CC BY-SA 4.0 |
added 836 characters in body
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| Aug 4 at 11:54 | comment | added | Arnold Neumaier | Thats the kind of answer I was looking for. What about the noncompact case? Is it essentially different? It should combine features of Maxwell's equations and compact YAng-Mills.... The DOI of the second link is wrong. | |
| Aug 3 at 17:34 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 4.0 |
typo corrected
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| Aug 3 at 16:28 | history | answered | Igor Khavkine | CC BY-SA 4.0 |