Finite energy-action solutions of p1 Yang-Mills equations on p2 Schwarzschild and deSitter backgrounds in dimensions d≥4

被引:6
作者
Brihaye, Y [1 ]
Chakrabarti, A
Tchrakian, DH
机构
[1] Univ Mons, B-7000 Mons, Belgium
[2] Ecole Polytech, Ctr Phys Theor, F-9118 Palaiseau, France
[3] Natl Univ Ireland Maynooth, Dept Math Phys, Maynooth, Kildare, Ireland
[4] Dublin Inst Adv Studies, Sch Theoret Phys, Dublin 4, Ireland
关键词
D O I
10.1063/1.533421
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Physically relevant gauge and gravitational theories can be seen as special members of hierarchies of more elaborate systems. The Yang-Mills (YM) system 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 first member of another hierarchy which we index by p(2). In this paper, we study 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 dimensions and lead to several examples of nonself-dual YM fields. When p(1)=p(2) self-dual solutions exist in addition. Their action is equal to the Chern-Pontryagin charge and can be compared with that of the nonself-dual solutions. (C) 2000 American Institute of Physics. [S0022-2488(00)04008-1].
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页码:5490 / 5509
页数:20
相关论文
共 20 条
[11]  
CHAKRABARTI A, IN PRESS ADV THEOR M
[12]   GRAVITATIONAL EFFECTS ON YANG-MILLS TOPOLOGY [J].
CHARAP, JM ;
DUFF, MJ .
PHYSICS LETTERS B, 1977, 69 (04) :445-447
[13]   BLACK-HOLES IN HIGHER DIMENSIONAL SPACE-TIMES [J].
MYERS, RC ;
PERRY, MJ .
ANNALS OF PHYSICS, 1986, 172 (02) :304-347
[14]   MERON FIELD CONFIGURATIONS IN EVERY EVEN DIMENSION [J].
OBRIEN, GM ;
TCHRAKIAN, DH .
PHYSICS LETTERS B, 1987, 194 (03) :411-414
[15]   SPIN-CONNECTION GENERALIZED YANG-MILLS FIELDS ON DOUBLE-DUAL GENERALIZED EINSTEIN-CARTAN BACKGROUNDS [J].
OBRIEN, GM ;
TCHRAKIAN, DH .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (05) :1212-1219
[16]  
ROESNEL C, 1989, PHYS REV D, V39, P2381
[17]  
Tchrakian D.H., 1993, INT J MOD PHYS A, V3A, P584
[18]   SPHERICALLY SYMMETRIC GAUGE FIELD CONFIGURATIONS WITH FINITE ACTION IN 4P-DIMENSIONS (P=INTEGER) [J].
TCHRAKIAN, DH .
PHYSICS LETTERS B, 1985, 150 (05) :360-362
[19]   N-DIMENSIONAL INSTANTONS AND MONOPOLES [J].
TCHRAKIAN, DH .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (01) :166-169
[20]  
Volkov MS, 1999, PHYS REP, V319, P2