# Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories

@article{Gotay2004MomentumMA, title={Momentum Maps and Classical Relativistic Fields. Part II: Canonical Analysis of Field Theories}, author={Mark J. Gotay and James Allen Isenberg and Jerrold E. Marsden}, journal={arXiv: Mathematical Physics}, year={2004} }

With the covariant formulation in hand from the first paper of this series (physics/9801019), we begin in this second paper to study the canonical (or ``instantaneous'') formulation of classical field theories. The canonical formluation works with fields defined as time-evolving cross sections of bundles over a Cauchy surface, rather than as sections of bundles over spacetime as in the covariant formulation. In Chapter 5 we begin to relate these approaches to classical field theory; in…

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