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.

引用

页码：39 / 63

页数：25

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