The Lagrangian-Hamiltonian formalism for higher order field theories

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Vitagliano, Luca^1,2 

[1] Univ Salerno, DMI, Via Ponte don Melillo, I-84084 Fisciano, SA, Italy

[2] GC Salerno, Ist Nazl Fis Nucl, I-84084 Fisciano, SA, Italy

关键词: Lagrangian formalism;    Hamiltonian formalism;    Field theory;    Jet spaces;    Geometry of PDEs;   

DOI  :  10.1016/j.geomphys.2010.02.003

来源: Elsevier

【 摘 要 】

We generalize the Lagrangian-Hamiltonian formalism of Skinner and Rusk to higher order field theories on fiber bundles. As a byproduct we solve the long standing problem of defining, in a coordinate free manner, a Hamiltonian formalism for higher order Lagrangian field theories. Namely, our formalism does only depend 00 the action functional and, therefore, unlike previously proposed ones, is free from any relevant ambiguity. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free