Abstract
A general scheme of constructing a canonical structure (i.e. Poisson bracket, canonical fields) in classical field theories is proposed. The theory is manifestly independent of the particular choice of an initial space-like surface in space-time. The connection between dynamics and canonical structure is established. Applications to theories with a gauge and constraints are of special interest. Several physical examples are given.
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Communicated by J. Ehlers
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Kijowski, J., Szczyrba, W. A canonical structure for classical field theories. Commun.Math. Phys. 46, 183–206 (1976). https://doi.org/10.1007/BF01608496
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DOI: https://doi.org/10.1007/BF01608496