| Title: | On constant solutions of the Yang-Mills equations (English) | 
| Author: | Schimming, Rainer | 
| Language: | English | 
| Journal: | Archivum Mathematicum | 
| ISSN: | 0044-8753 (print) | 
| ISSN: | 1212-5059 (online) | 
| Volume: | 24 | 
| Issue: | 2 | 
| Year: | 1988 | 
| Pages: | 65-73 | 
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| Category: | math | 
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| MSC: | 17B99 | 
| MSC: | 58Z05 | 
| MSC: | 81T08 | 
| idZBL: | Zbl 0661.58039 | 
| idMR: | MR983224 | 
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| Date available: | 2008-06-06T06:18:35Z | 
| Last updated: | 2012-05-09 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/107311 | 
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| Reference: | [1] L. S. Bгown, W. I. Weisgerber: Vacuum polarization in uniform non-Abelian gauge fields.Nucl. Phys. B 157 (1979), 285-326. | 
| Reference: | [2] M. Goto, F. D. Gгosshans: Semisimple Lie Algebras.M. Dekker, New York, 1978. MR 0573070 | 
| Reference: | [3] C. H. Gu: On parallel Yang-Mills fields.in: S.-T. Yau (ed.), Seminaг on Differential Geometгy, Princeton Univ. Pгess, 1982, p. 443-453. Zbl 0482.53035, MR 0645752 | 
| Reference: | [4] H. Leutwyleг: Vacuum fluctuations surrounding soft gluon fields.Phys. Lett. 96 B (1980), 154-158. | 
| Reference: | [5] H. Leutwyler: Constant gauge fields and their quantum fluctuations.Nucl. Phys. B 179 (1981), 129-170. | 
| Reference: | [6] P. Minkowski: On the ground-state expectation value of the field strength bilinear in gauge theories and constant classical fields.Nucl. Phys. B 177 (1981), 203-217. | 
| Reference: | [7] N. K. Nielsen, P. Olesen: An unstable Yang-Mills field mode.Nucl. Phys. B 144 (1978), 376-396. MR 0511496 | 
| Reference: | [8] F. Palumbo: Constant gauge field configurations and Galilei gauge theories.Phys. Lett. 137 B (1984), 404-406. | 
| Reference: | [9] R. Schimming: Huygens-type multicomponent hyperbolic differential equations of second order.(in Russian), Ukrainsk. Mat. J. 29 (1977), 351-363. MR 0458514 | 
| Reference: | [10] R. Schimming: Das Huygenssche Prinzip bei linearen hyperbolischen Differentialgleichungen zweiter Ordnung für allgemeine Felder.Beiträge zur Analysis 11 (1978), 45-90. MR 0502738 | 
| Reference: | [11] R. Schimming: Differential operators with Laplace-like principal part and logarithm-free elementary solution.foгthcoming paper. | 
| Reference: | [12] P. van Baal: SU(N) Yang-Mills Solutions with Constant Field Strength on $T^4$.Commun. Math. Phys. 94 (1984), 397-419. MR 0763387 | 
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