Hamiltonian structure of gauge-invariant variational problems

被引：0
|
作者：
Castrillon Lopez, Marco [1 ]
Munoz Masque, Jaime [2 ]
机构：
[1] Univ Complutense Madrid, ICMAT CSIC UAM UCM UC3M, Dept Geometria & Topol, Fac Matemat, E-28040 Madrid, Spain
[2] CSIC, Inst Fis Aplicada, E-28006 Madrid, Spain
来源：
ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS | 2012年 / 16卷 / 01期
关键词：
CONNECTIONS; BUNDLE; EQUATIONS;
D O I：
暂无
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
Let C -> M be the bundle of connections of a principal bundle on M. The solutions to Hamilton-Cartan equations for a gauge-invariant Lagrangian density Lambda on C satisfying a weak condition of regularity, are shown to admit an affine fibre-bundle structure over the set of solutions to Euler-Lagrange equations for Lambda. This structure is also studied for the Jacobi fields and for the moduli space of extremals.
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页码：39 / 63
页数：25
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