Internal Lagrangians and spatial-gauge symmetries

Autor:	Druzhkov, Kostya
Rok vydání:	2024
Předmět:	Mathematical Physics High Energy Physics - Theory Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	A direct reformulation of the Hamiltonian formalism in terms of the intrinsic geometry of infinitely prolonged differential equations is obtained. Concepts of spatial equation and spatial-gauge symmetry of a Lagrangian system of equations are introduced. A non-covariant canonical variational principle is proposed and demonstrated using the Maxwell equations as an example. A covariant canonical variational principle is formulated. The results obtained are applicable to any variational equations, including those that do not originate in physics. Comment: 16 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.06606 Zobrazit plný text záznamu View this record from Arxiv