Covariant Hamilton equations for field theory

被引：24

作者：

Giachetta, G ^{[1
]}

Mangiarotti, L

Sardanashvily, G

机构：

[1] Univ Camerino, Dept Math & Phys, I-62032 Camerino, MC, Italy

[2] Moscow MV Lomonosov State Univ, Fac Phys, Dept Theoret Phys, Moscow 117234, Russia

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1999年 / 32卷 / 38期

关键词：

D O I：

10.1088/0305-4470/32/38/302

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the relations between the equations of first-order Lagrangian field theory on fibre bundles and the covariant Hamilton equations on the finite-dimensional polysymplectic phase space of covariant Hamiltonian held theory. If a Lagrangian is hyperregular, these equations are equivalent. A degenerate Lagrangian requires a set of associated Hamiltonian forms in order to exhaust all solutions of the Euler-Lagrange equations. The case of quadratic degenerate Lagrangians is studied in detail.

引用

页码：6629 / 6642

页数：14

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