GROUP-ACTIONS ON PRINCIPAL BUNDLES AND INVARIANCE CONDITIONS FOR GAUGE-FIELDS

被引：110

作者：

HARNAD, J ^{[1
]}

SHNIDER, S ^{[1
]}

VINET, L ^{[1
]}

机构：

[1] MCGILL UNIV,DEPT MATH,MONTREAL H3C 3G1,QUEBEC,CANADA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 12期

关键词：

D O I：

10.1063/1.524389

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Invariance conditions for gauge fields under smooth group actions are interpreted in terms of invariant connections on principal bundles. A classification of group actions on bundles as automorphisms projecting to an action on a base manifold with a sufficiently regular orbit structure is given in terms of group homorphisms and a generalization of Wang's theorem classifying invariant connections is derived. Illustrative examples on compactified Minkowski space are given. © 1980 American Institute of Physics.

引用

页码：2719 / 2724

页数：6

共 12 条

[1] SYMMETRIES IN GAUGE THEORIES
BERGMANN, PG
FLAHERTY, EJ
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1978, 19 (01) : 212 - 214
[2] BREDON G, 1972, INTRO COMPACT TRANSF, pCH2
[3] Dynkin E., 1957, AM MATH SOC TRANSL 2, V6, P111
[4] SPACE-TIME SYMMETRIES IN GAUGE-THEORIES
FORGACS, P
MANTON, NS
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 72 (01) : 15 - 35
[5] YANG-MILLS SYSTEM IN COMPACTIFIED MINKOWSKI SPACE - INVARIANCE CONDITIONS AND SU(2) INVARIANT SOLUTIONS
HARNAD, J
SHNIDER, S
VINET, L
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1979, 20 (05) : 931 - 942
[6] GROUP-ACTIONS ON PRINCIPAL BUNDLES AND DIMENSIONAL REDUCTION
HARNAD, J
SHNIDER, S
TAFEL, J
[J]. LETTERS IN MATHEMATICAL PHYSICS, 1980, 4 (02) : 107 - 113
[7] HARNAD J, 1979, COMPLEX MANIFOLD TEC, P219
[8] JACKIW R, ANN PHYS
[9] KOBAYASHI S, 1969, F DIFFERENTIAL GEOME, V1, P106
[10] NEW 6-DIMENSIONAL APPROACH TO THE WEINBERG-SALAM MODEL
MANTON, NS
[J]. NUCLEAR PHYSICS B, 1979, 158 (01) : 141 - 153

← 1 2 →