Abstract
In this contribution, a canonical transformation theory is presented that is worked out on the basis of the covariant Hamiltonian field theory in local coordinate description. To provide an unique covariant Hamilton approach in the realm of gauge theory, a method is shown, that makes it possible to render every globally gauge invariant Hamiltonian density into a locally gauge invariant Hamiltonian, and subsequently into a Lagrangian density. On the basis of the example of the globally gauge invariant Dirac Lagrangian density, the corresponding locally gauge invariant system is derived by means of the canonical transformation approach.
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Reichau, H., Struckmeier, J. (2015). The Gauge Principle in Covariant Hamiltonian Field Theory. In: Greiner, W. (eds) Nuclear Physics: Present and Future. FIAS Interdisciplinary Science Series. Springer, Cham. https://doi.org/10.1007/978-3-319-10199-6_26
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DOI: https://doi.org/10.1007/978-3-319-10199-6_26
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