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 |
. |
Category:
|
math |
. |
MSC:
|
17B99 |
MSC:
|
58Z05 |
MSC:
|
81T08 |
idZBL:
|
Zbl 0661.58039 |
idMR:
|
MR983224 |
. |
Date available:
|
2008-06-06T06:18:35Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107311 |
. |
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 |
. |