On application of the Hamilton formalism in fibred manifolds to field theory
type: Item
instance of: scholarly article
title: On application of the Hamilton formalism in fibred manifolds to field theory
zbMATH Open document ID: 0789.58041
DOI: 10.1016/0926-2245(93)90003-J
author: Juan-Miguel Gracia
published in: Differential Geometry and its Applications
publication date: 1994-01-16T00:00:00Z
review text: An intrinsic Hamiltonian formalism for gauge theory of principal connections on a principal bundle is developed, in terms of Hamiltonian jet fields. Applications to analytic mechanics, Yang-Mills theory, spontaneous symmetry breaking and to gravitation theory are presented.
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81R40
zbMATH DE Number: 444849
zbMATH Keywords: Hamiltonian formalism
zbMATH Keywords: gauge theory
zbMATH Keywords: connections
zbMATH Keywords: analytic mechanics
zbMATH Keywords: Yang-Mills theory
zbMATH Keywords: symmetry breaking
zbMATH Keywords: gravitation
reviewed by: József Szilasi
MaRDI profile type: Publication
cites work: A geometric theory of ordinary first order variational problems in fibered manifolds. I: Critical sections
cites work: On the geometric structure of gauge theories
cites work: Q4320948
cites work: The multimomentum Hamiltonian formalism in gauge theory
cites work: Hamiltonian formalism for nonregular Lagrangian theories in fibered manifolds
Wikidata QID: Q115362728
description: scientific article; zbMATH DE number 444849