Finite energy-action solutions of p(1) Yang-Mills equations on p(2) Schwarzschild and deSitter backgrounds in dimensions d >= 4

Citation
Y. Brihaye et al., Finite energy-action solutions of p(1) Yang-Mills equations on p(2) Schwarzschild and deSitter backgrounds in dimensions d >= 4, J MATH PHYS, 41(8), 2000, pp. 5490-5509
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
8
Year of publication
2000
Pages
5490 - 5509
Database
ISI
SICI code
0022-2488(200008)41:8<5490:FESOPY>2.0.ZU;2-4
Abstract
Physically relevant gauge and gravitational theories can be seen as special members of hierarchies of more elaborate systems. The Yang-Mills (YM) syst em is the first member of a hierarchy of Lagrangians which we will index by p(1), and the Einstein-Hilbert (EH) system of general relativity is the fi rst member of another hierarchy which we index by p(2). In this paper, we s tudy the classical equations of the p(1)=1,2 YM hierarchy considered in the background of special geometries (Schwarzschild, deSitter, anti-deSitter) of the p(2)=1,2,3 EH hierarchy. Solutions are obtained in various dimension s and lead to several examples of nonself-dual YM fields. When p(1)=p(2) se lf-dual solutions exist in addition. Their action is equal to the Chern-Pon tryagin charge and can be compared with that of the nonself-dual solutions. (C) 2000 American Institute of Physics. [S0022-2488(00)04008-1].