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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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