Hamiltonian Structure of Gauge-Invariant Variational Problems
Mathematical Physics
2015-03-17 v1 Differential Geometry
math.MP
Abstract
Let be the bundle of connections of a principal bundle on . The solutions to Hamilton-Cartan equations for a gauge-invariant Lagrangian density on 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 . This structure is also studied for the Jacobi fields and for the moduli space of extremals.
Cite
@article{arxiv.1004.4923,
title = {Hamiltonian Structure of Gauge-Invariant Variational Problems},
author = {Marco Castrillon Lopez and Jaime Munoz Masque},
journal= {arXiv preprint arXiv:1004.4923},
year = {2015}
}