On constant solutions of the Yang-Mills equations

Rainer Schimming

Archivum Mathematicum (1988)

  • Volume: 024, Issue: 2, page 65-73
  • ISSN: 0044-8753

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Schimming, Rainer. "On constant solutions of the Yang-Mills equations." Archivum Mathematicum 024.2 (1988): 65-73. <http://eudml.org/doc/18234>.

@article{Schimming1988,
author = {Schimming, Rainer},
journal = {Archivum Mathematicum},
keywords = {constant solutions; Yang-Mills equations; gauge potentials; Lie algebras},
language = {eng},
number = {2},
pages = {65-73},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On constant solutions of the Yang-Mills equations},
url = {http://eudml.org/doc/18234},
volume = {024},
year = {1988},
}

TY - JOUR
AU - Schimming, Rainer
TI - On constant solutions of the Yang-Mills equations
JO - Archivum Mathematicum
PY - 1988
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 024
IS - 2
SP - 65
EP - 73
LA - eng
KW - constant solutions; Yang-Mills equations; gauge potentials; Lie algebras
UR - http://eudml.org/doc/18234
ER -

References

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  1. L. S. Bгown, W. I. Weisgerber, Vacuum polarization in uniform non-Abelian gauge fields, Nucl. Phys. B 157 (1979), 285-326. (1979) 
  2. M. Goto, F. D. Gгosshans, Semisimple Lie Algebras, M. Dekker, New York, 1978. (1978) MR0573070
  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. (1982) Zbl0482.53035MR0645752
  4. H. Leutwyleг, Vacuum fluctuations surrounding soft gluon fields, Phys. Lett. 96 B (1980), 154-158. (1980) 
  5. H. Leutwyler, Constant gauge fields and their quantum fluctuations, Nucl. Phys. B 179 (1981), 129-170. (1981) 
  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. (1981) 
  7. N. K. Nielsen, P. Olesen, An unstable Yang-Mills field mode, Nucl. Phys. B 144 (1978), 376-396. (1978) MR0511496
  8. F. Palumbo, Constant gauge field configurations and Galilei gauge theories, Phys. Lett. 137 B (1984), 404-406. (1984) 
  9. R. Schimming, Huygens-type multicomponent hyperbolic differential equations of second order, (in Russian), Ukrainsk. Mat. J. 29 (1977), 351-363. (1977) MR0458514
  10. R. Schimming, Das Huygenssche Prinzip bei linearen hyperbolischen Differentialgleichungen zweiter Ordnung für allgemeine Felder, Beiträge zur Analysis 11 (1978), 45-90. (1978) MR0502738
  11. R. Schimming, Differential operators with Laplace-like principal part and logarithm-free elementary solution, foгthcoming paper. 
  12. P. van Baal, SU(N) Yang-Mills Solutions with Constant Field Strength on T 4 , Commun. Math. Phys. 94 (1984), 397-419. (1984) MR0763387

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