Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory
@article{Gotay1997MomentumMA, title={Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory}, author={M. J. Gotay and J. Isenberg and J. Marsden and R. Montgomery}, journal={arXiv: Mathematical Physics}, year={1997} }
This is the first paper of a five part work in which we study the Lagrangian and Hamiltonian structure of classical field theories with constraints. Our goal is to explore some of the connections between initial value constraints and gauge transformations in such theories (either relativistic or not). To do this, in the course of these four papers, we develop and use a number of tools from symplectic and multisymplectic geometry. Of central importance in our analysis is the notion of the… CONTINUE READING
Figures from this paper
Figures
Paper Mentions
216 Citations
Covariant Hamiltonian Field Theories on Manifolds with Boundary: Yang-Mills Theories
- Mathematics, Physics
- 2015
- 10
- PDF
Covariant Quantum Gravity with Continuous Quantum Geometry I: Covariant Hamiltonian Framework
- Physics
- 2016
Classical Field Theories from Hamiltonian Constraint: Local Symmetries and Static Gauge Fields
- Physics, Mathematics
- 2016
- 1
- PDF
Noether Symmetries and Covariant Conservation Laws in Classical, Relativistic and Quantum Physics
- Physics, Computer Science
- Symmetry
- 2010
- 11
- PDF
Currents and the energy-momentum tensor in classical field theory: a fresh look at an old problem
- Physics, Mathematics
- 2004
- 73
- PDF
References
SHOWING 1-10 OF 148 REFERENCES
The dynamics of the Einstein-Dirac system. I. A principal bundle formulation of the theory and its canonical analysis
- Physics
- 1985
- 13
A multisymplectic framework for classical field theory and the calculus of variations II: space + time decomposition
- Mathematics
- 1991
- 105
- PDF